تكلم مع الذكاء الاصطناعي
Deck 2: Functions and Graphs
ملء الشاشة (f)
سؤال
Determine the center and radius of the circle with the following equation. 
A)center:
; radius: 15
B)center:
; radius: 225
C)center:
; radius: 15
D)center:
; radius: 
E)center:
; radius: 1
A)center:
; radius: 15B)center:
; radius: 225C)center:
; radius: 15D)center:
; radius: E)center:
; radius: 1
سؤال
Given 
, find 
.
A)38
B)58
C)48
D)-34
E)-22
, find .A)38
B)58
C)48
D)-34
E)-22
سؤال
Graph the following equation by plotting points that satisfy the equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the center and radius of the graph of the circle. The equation of the circle is written in general form. 
A)center:
; radius: 
B)center:
; radius: 6
C)center:
; radius: 6
D)center:
; radius: 6
E)center:
; radius: 
A)center:
; radius: B)center:
; radius: 6C)center:
; radius: 6D)center:
; radius: 6E)center:
; radius: سؤال
Determine the domain of the following function. 
A)
B)
C)
D)
E)all real numbers
A)
B)
C)
D)
E)all real numbers
سؤال
Use the floor function to write an expression that can be used to round 6.0762 to the nearest thousandths.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the x - and y -intercepts of the graph of the following equation. 
A)x -int:
; y -int: 
B)x -int:
; y -int: 
C)x -int:
; y -int: 
D)x -int:
; y -int: 
E)x -int:
; y -int: 
A)x -int:
; y -int: B)x -int:
; y -int: C)x -int:
; y -int: D)x -int:
; y -int: E)x -int:
; y -int: سؤال
The amount of federal income tax 
an individual owed in 2004 is given by 
where x is the adjusted gross income tax of the taxpayer. What is the domain of this function? Write answer in interval notation.
A)
B)
C)
D)
E)
an individual owed in 2004 is given by where x is the adjusted gross income tax of the taxpayer. What is the domain of this function? Write answer in interval notation.A)
B)
C)
D)
E)
سؤال
Given 
, find 
.
A)
B)
C)
D)
E)
, find .A)
B)
C)
D)
E)
سؤال
Graph the following equation by plotting points that satisfy the equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Given 
, find 
.
A)
B)
C)
D)
E)
, find .A)
B)
C)
D)
E)
سؤال
Given 
, find 
.
A)-5
B)1
C)
D)-7
E)
, find .A)-5
B)1
C)
D)-7
E)
سؤال
The amount of federal income tax 
an individual owed in 2004 is given by 
where x is the adjusted gross income tax of the taxpayer. Find the income tax owed by an individual whose adjusted gross income was $58,250.
A)$8,380.00
B)$11,300.00
C)$12,176.00
D)$7,300.00
E)$9,789.00
an individual owed in 2004 is given by where x is the adjusted gross income tax of the taxpayer. Find the income tax owed by an individual whose adjusted gross income was $58,250.A)$8,380.00
B)$11,300.00
C)$12,176.00
D)$7,300.00
E)$9,789.00
سؤال
For the piecewise-defined function below, find 
A)
B)8
C)3
D)v
E)
A)
B)8
C)3
D)v
E)
سؤال
Find an equation of a circle that satisfies the following condition. Write your answer in standard form. Center: 
; passing through 
A)
B)
C)
D)
E)
; passing through A)
B)
C)
D)
E)
سؤال
Given 
, find 
.
A)80
B)89
C)11
D)31
E)71
, find .A)80
B)89
C)11
D)31
E)71
سؤال
For the piecewise-defined function below, find 
. 
A)8
B)
C)2
D)
E)0
. A)8
B)
C)2
D)
E)0
سؤال
Given 
, find 
.
A)10
B)-1
C)7
D)13
E)6
, find .A)10
B)-1
C)7
D)13
E)6
سؤال
Plot the points below whose coordinates are given on a Cartesian coordinate system. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
For the piecewise-defined function below, find 
A)
B)9
C)
D)6
E)20
A)
B)9
C)
D)6
E)20
سؤال
Use the vertical line test to determine if the following graph is the graph of a function. 
A)not a function
B)function
A)not a function
B)function
سؤال
Find the value of x in the domain of 
for which 
.
A)4
B)2
C)8
D)-5
E)-6
for which .A)4
B)2
C)8
D)-5
E)-6
سؤال
An open box is to be made from a square piece of cardboard having dimensions 20 inches by 20 inches by cutting out squares of area 
from each corner as shown in the figure below. Express the volume V of the box as a function of x . 
A)
B)
C)
D)
E)
from each corner as shown in the figure below. Express the volume V of the box as a function of x . A)
B)
C)
D)
E)
سؤال
Use the vertical line test to determine if the following graph is the graph of a function. 
A)function
B)not a function
A)function
B)not a function
سؤال
A rental car company purchases an automobile for $18,800. The automobile requires an average cost of $8.15 per day in maintenance. Find a linear function that expresses the total cost C of owning the automobile after t days.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The amount of federal income tax 
an individual owed in $year is given by 
where x is the adjusted gross income tax of the taxpayer. Find the income tax owed by an individual whose adjusted gross income was $124,400.
A)$31,635
B)$30,793
C)$17,010
D)$27,343
E)$29,934
an individual owed in $year is given by where x is the adjusted gross income tax of the taxpayer. Find the income tax owed by an individual whose adjusted gross income was $124,400.A)$31,635
B)$30,793
C)$17,010
D)$27,343
E)$29,934
سؤال
Determine the profit function, 
if the revenue function and cost functions are 
and 
respectively. Also find the break-even point.
A)
; 
, the break-even point
B)
; 
, the break-even point
C)
; 
, the break-even point
D)
; 
, the break-even point
E)
; 
, the break-even point
if the revenue function and cost functions are and respectively. Also find the break-even point.A)
; , the break-even pointB)
; , the break-even pointC)
; , the break-even pointD)
; , the break-even pointE)
; , the break-even point سؤال
A rental car company purchases an automobile for $20,600. The automobile requires an average cost of $7.60 per day in maintenance. The automobile rents for $60.00 a day. Find a linear function that expresses the total revenue R when the automobile has been rented for t days.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
سؤال
Find the slope of the line that passes through the points 
and 
.
A)8
B)-8
C)0
D)undefined
E)7
and .A)8
B)-8
C)0
D)undefined
E)7
سؤال
Graph y as a function of x by finding the slope and y-intercept of the line below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use the vertical line test to determine if the following graph is the graph of a function. 
A)not a Function
B)function
A)not a Function
B)function
سؤال
Given the function below, find the solution of 
. 
A)-2
B)2
C)-7
D)-12
E)7
. A)-2
B)2
C)-7
D)-12
E)7
سؤال
Use the vertical line test to determine if the following graph is the graph of a function. 
A)function
B)not a function
A)function
B)not a function
سؤال
A rental car company purchases an automobile for $20,800. The automobile requires an average cost of $7.45 per day in maintenance. The automobile rents for $65.00 a day. The profit after t days, 
is given by the function 
. Find the linear function 
.
A)
B)
C)
D)
E)
is given by the function . Find the linear function .A)
B)
C)
D)
E)
سؤال
The federal minimum wage, in dollars per hour, for the years 1955 to 2005 is given in the table below. Using the data from 1955 and 1975, find a linear model that predicts the federal minimum wage for the year t . Round to nearest hundredth. Year Federal Minimum Wage 1955 0.75 1965 1.25 1975 2.10 1985 3.35 1995 4.25 2005 5.15
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
A boat was purchased for $39,000. Assuming the boat depreciates at a rate of $4680 per year ( straight-line depreciation )for the first 7 years, write the value v of the boat as a function of the time t (measured in years)for 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
An open box is to be made from a square piece of cardboard having dimensions 28 inches by 28 inches by cutting out squares of area 
from each corner as shown in the figure below. If the volume of the box is given by 
, state the domain of V . 
A)
B)
C)
D)all real numbers
E)
from each corner as shown in the figure below. If the volume of the box is given by , state the domain of V . A)
B)
C)
D)all real numbers
E)
سؤال
Find the equation of the line that has y -intercept 
and slope 4. Write the equation in the form 
.
A)
B)
C)
D)
E)
and slope 4. Write the equation in the form .A)
B)
C)
D)
E)
سؤال
Find the slope of the line that passes through the points 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find the range of 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is 
. The price per parcel, in dollars, the company charges to send x parcels is 
. Determine the price per parcel that yields the maximum profit.
A)$6.00
B)$12.44
C)$18.25
D)$10.50
E)$15.00
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the price per parcel that yields the maximum profit.A)$6.00
B)$12.44
C)$18.25
D)$10.50
E)$15.00
سؤال
Determine whether the graph of 
is symmetric with respect to the x -axis and/or the y -axis.
A)symmetric with respect to the y -axis
B)symmetric with respect to the x -axis
C)symmetric with respect to both
D)symmetric with respect to neither
is symmetric with respect to the x -axis and/or the y -axis.A)symmetric with respect to the y -axis
B)symmetric with respect to the x -axis
C)symmetric with respect to both
D)symmetric with respect to neither
سؤال
Use the vertex formula to determine the vertex of the graph of 
and write the function in standard form.
A)Vertex:
; 
B)Vertex:
; 
C)Vertex:
; 
D)Vertex:
; 
E)Vertex:
; 
and write the function in standard form.A)Vertex:
; B)Vertex:
; C)Vertex:
; D)Vertex:
; E)Vertex:
; سؤال
The sum of the length l and the width w of a rectangular region is 260 meters. Write w as a function of l .
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The height in feet of a projectile with an initial velocity of 192 feet per second and an initial height of 60 feet is a function of time t , in seconds, given by 
. Find the time t when the projectile reaches its maximum height.
A)8 s
B)5 s
C)4 s
D)6 s
E)7 s
. Find the time t when the projectile reaches its maximum height.A)8 s
B)5 s
C)4 s
D)6 s
E)7 s
سؤال
The sum of the length l and the width w of a rectangular region is 200 meters. Write the area A as a function of l .
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is 
. The price per parcel, in dollars, the company charges to send x parcels is 
. Determine the revenue function.
A)
B)
C)
D)
E)
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the revenue function.A)
B)
C)
D)
E)
سؤال
The height in feet of a projectile with an initial velocity of 128 feet per second and an initial height of 60 feet is a function of time t , in seconds, given by 
. Find the maximum height of the projectile.
A)165 ft
B)414 ft
C)316 ft
D)508 ft
E)413 ft
. Find the maximum height of the projectile.A)165 ft
B)414 ft
C)316 ft
D)508 ft
E)413 ft
سؤال
The height in feet of a projectile with an initial velocity of 65 feet per second and an initial height of 48 feet is a function of time t , in seconds, given by 
. Find the time t when the projectile has a height of 0 feet. Round to nearest tenth of a second.
A)5.5 s
B)5.1 s
C)3.8 s
D)4.7 s
E)6.4 s
. Find the time t when the projectile has a height of 0 feet. Round to nearest tenth of a second.A)5.5 s
B)5.1 s
C)3.8 s
D)4.7 s
E)6.4 s
سؤال
Determine whether the graph of 
is symmetric with respect to the origin.
is symmetric with respect to the origin. سؤال
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is 
. The price per parcel, in dollars, the company charges to send x parcels is 
. Determine the minimum number of parcels the air freight company must ship to break even.
A)408 parcels
B)460 parcels
C)138 parcels
D)782 parcels
E)494 parcels
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the minimum number of parcels the air freight company must ship to break even.A)408 parcels
B)460 parcels
C)138 parcels
D)782 parcels
E)494 parcels
سؤال
Use the method of completing the square to find the standard form of the quadratic function below. State the vertex and axis of symmetry of the graph of the function. 
A)
, vertex 
, axis of symmetry 
B)
, vertex 
, axis of symmetry 
C)
, vertex 
, axis of symmetry 
D)
, vertex 
, axis of symmetry 
E)
, vertex 
, axis of symmetry 
A)
, vertex , axis of symmetry B)
, vertex , axis of symmetry C)
, vertex , axis of symmetry D)
, vertex , axis of symmetry E)
, vertex , axis of symmetry سؤال
Find the maximum or the minimum value of 
. State whether this value is a maximum or a minimum.
A)-40; minimum
B)80; maximum
C)-20; maximum
D)-20; minimum
E)8; maximum
. State whether this value is a maximum or a minimum.A)-40; minimum
B)80; maximum
C)-20; maximum
D)-20; minimum
E)8; maximum
سؤال
A rock attached to a string is whirled horizontally about the origin in a counterclockwise circular path with radius 5 feet. When the string breaks, the rock travels on a linear path perpendicular to the radius OP and hits the wall which is 
feet away. If the string breaks when the rock is at 
, find the x -coordinate of the point at which the rock hits the wall. 
A)-6
B)-4
C)-7
D)-5
E)-8
feet away. If the string breaks when the rock is at , find the x -coordinate of the point at which the rock hits the wall. A)-6
B)-4
C)-7
D)-5
E)-8
سؤال
The sum of the length l and the width w of a rectangular region is 250 meters. Find the dimensions that produce the greatest area.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
A rental car company purchases an automobile for $21,800. The automobile requires an average cost of $7.05 per day in maintenance. The automobile rents for $45.00 a day. The profit after t days, 
, is given by the function 
. After finding the linear function 
, determine, to the nearest day, how many days it will take the company to break-even assuming the automobile is in use every day.
A)approximately 529 days
B)approximately 625 days
C)approximately 574 days
D)approximately 419 days
E)approximately 497 days
, is given by the function . After finding the linear function , determine, to the nearest day, how many days it will take the company to break-even assuming the automobile is in use every day.A)approximately 529 days
B)approximately 625 days
C)approximately 574 days
D)approximately 419 days
E)approximately 497 days
سؤال
Find the maximum or minimum value of the function below. State whether this value is a maximum or a minimum. 
A)1, a minimum
B)-10, a maximum
C)-10, a minimum
D)10, a maximum
E)10, a minimum
A)1, a minimum
B)-10, a maximum
C)-10, a minimum
D)10, a maximum
E)10, a minimum
سؤال
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is 
. The price per parcel, in dollars, the company charges to send x parcels is 
. Determine the company s maximum profit to the nearest dollar.
A)$9220
B)$3610
C)$4030
D)$12,610
E)$8480
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the company s maximum profit to the nearest dollar.A)$9220
B)$3610
C)$4030
D)$12,610
E)$8480
سؤال
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is 
. The price per parcel, in dollars, the company charges to send x parcels is 
. Determine the profit function.
A)
B)
C)
D)
E)
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the profit function.A)
B)
C)
D)
E)
سؤال
Evaluate the following composite function if 
and 
. 
A)49
B)54
C)48
D)47
E)46
and . A)49
B)54
C)48
D)47
E)46
سؤال
Use the graph of 
, shown below, to sketch the graph of the function below. 
A)
B)
C)
D)
E)
, shown below, to sketch the graph of the function below. A)
B)
C)
D)
E)
سؤال
Use the graph of g, shown below, to sketch the graph of the function below. g 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the difference quotient of 
.
A)
B)
C)8
D)
E)
.A)
B)
C)8
D)
E)
سؤال
If 
and 
, find 
and state the domain.
A)
; 
B)
; 
C)
; 
D)
; all real numbers
E)
; 
and , find and state the domain.A)
; B)
; C)
; D)
; all real numbersE)
; سؤال
Use the graph of 
shown below, to sketch the graph of the function below. 
A)
B)
C)
D)
E)
shown below, to sketch the graph of the function below. A)
B)
C)
D)
E)
سؤال
Determine whether 
is an even function, an odd function, or neither.
A)even function
B)neither
C)odd function
is an even function, an odd function, or neither.A)even function
B)neither
C)odd function
سؤال
Determine whether the following scatter diagram suggests a linear relationship between x and y , a nonlinear relationship between x and y , or no relationship between x and y . 
A)no relationship between x and y
B)linear relationship between x and y
C)nonlinear relationship between x and y
A)no relationship between x and y
B)linear relationship between x and y
C)nonlinear relationship between x and y
سؤال
Use the graph of E, shown below, to sketch the graph of the function below. E 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use the graph of n, shown below, to sketch the graph of the function below. n 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use the graph of E, shown below, to sketch the graph of the function below. E 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the difference quotient of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Determine whether 
is an even function, an odd function, or neither.
A)odd function
B)even function
C)neither
is an even function, an odd function, or neither.A)odd function
B)even function
C)neither
سؤال
Evaluate 
where 
and 
.
A)
B)
C)
D)
E)
where and .A)
B)
C)
D)
E)
سؤال
Evaluate 
where 
and 
.
A)131
B)59
C)96
D)61
E)31
where and .A)131
B)59
C)96
D)61
E)31
سؤال
Evaluate 
where 
and 
.
A)-12
B)12
C)4
D)0
E)-61
where and .A)-12
B)12
C)4
D)0
E)-61
سؤال
A water tank has the shape of a right circular cone with height 18 feet and radius 14 feet. Water is running into the tank so that the radius r (in feet)of the surface of the water is given by 
where t is the time (in minutes)that the water has been running. The volume V of the water is given by 
Find 
and use it to determine the volume of the water when 
minutes. Round to the nearest tenth.
A)150.8 cubic feet
B)193.9 cubic feet
C)938.3 cubic feet
D)2326.6 cubic feet
E)1407.4 cubic feet
where t is the time (in minutes)that the water has been running. The volume V of the water is given by Find and use it to determine the volume of the water when minutes. Round to the nearest tenth.A)150.8 cubic feet
B)193.9 cubic feet
C)938.3 cubic feet
D)2326.6 cubic feet
E)1407.4 cubic feet
سؤال
Use the graph of g, shown below, to sketch the graph of the function below. g 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Evaluate 
where 
and 
.
A)-32
B)-16
C)-20
D)-18
E)-2
where and .A)-32
B)-16
C)-20
D)-18
E)-2
سؤال
Find the difference quotient of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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ملء الشاشة (f)
Deck 2: Functions and Graphs
1
Determine the center and radius of the circle with the following equation.
A)center: ; radius: 15
B)center: ; radius: 225
C)center: ; radius: 15
D)center: ; radius:
E)center: ; radius: 1
A)center:
; radius: 15B)center:
; radius: 225C)center:
; radius: 15D)center:
; radius: E)center:
; radius: 1center: ; radius: 15
; radius: 15 2
Given , find .
A)38
B)58
C)48
D)-34
E)-22
, find .A)38
B)58
C)48
D)-34
E)-22
38
3
Graph the following equation by plotting points that satisfy the equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Find the center and radius of the graph of the circle. The equation of the circle is written in general form.
A)center: ; radius:
B)center: ; radius: 6
C)center: ; radius: 6
D)center: ; radius: 6
E)center: ; radius:
A)center:
; radius: B)center:
; radius: 6C)center:
; radius: 6D)center:
; radius: 6E)center:
; radius: فتح الحزمة
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5
Determine the domain of the following function.
A)
B)
C)
D)
E)all real numbers
A)
B)
C)
D)
E)all real numbers
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6
Use the floor function to write an expression that can be used to round 6.0762 to the nearest thousandths.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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7
Find the x - and y -intercepts of the graph of the following equation.
A)x -int: ; y -int:
B)x -int: ; y -int:
C)x -int: ; y -int:
D)x -int: ; y -int:
E)x -int: ; y -int:
A)x -int:
; y -int: B)x -int:
; y -int: C)x -int:
; y -int: D)x -int:
; y -int: E)x -int:
; y -int: فتح الحزمة
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8
The amount of federal income tax an individual owed in 2004 is given by where x is the adjusted gross income tax of the taxpayer. What is the domain of this function? Write answer in interval notation.
A)
B)
C)
D)
E)
an individual owed in 2004 is given by where x is the adjusted gross income tax of the taxpayer. What is the domain of this function? Write answer in interval notation.A)
B)
C)
D)
E)
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9
Given , find .
A)
B)
C)
D)
E)
, find .A)
B)
C)
D)
E)
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10
Graph the following equation by plotting points that satisfy the equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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11
Given , find .
A)
B)
C)
D)
E)
, find .A)
B)
C)
D)
E)
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12
Given , find .
A)-5
B)1
C)
D)-7
E)
, find .A)-5
B)1
C)
D)-7
E)
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13
The amount of federal income tax an individual owed in 2004 is given by where x is the adjusted gross income tax of the taxpayer. Find the income tax owed by an individual whose adjusted gross income was $58,250.
A)$8,380.00
B)$11,300.00
C)$12,176.00
D)$7,300.00
E)$9,789.00
an individual owed in 2004 is given by where x is the adjusted gross income tax of the taxpayer. Find the income tax owed by an individual whose adjusted gross income was $58,250.A)$8,380.00
B)$11,300.00
C)$12,176.00
D)$7,300.00
E)$9,789.00
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14
For the piecewise-defined function below, find
A)
B)8
C)3
D)v
E)
A)
B)8
C)3
D)v
E)
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15
Find an equation of a circle that satisfies the following condition. Write your answer in standard form. Center: ; passing through
A)
B)
C)
D)
E)
; passing through A)
B)
C)
D)
E)
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16
Given , find .
A)80
B)89
C)11
D)31
E)71
, find .A)80
B)89
C)11
D)31
E)71
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17
For the piecewise-defined function below, find .
A)8
B)
C)2
D)
E)0
. A)8
B)
C)2
D)
E)0
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18
Given , find .
A)10
B)-1
C)7
D)13
E)6
, find .A)10
B)-1
C)7
D)13
E)6
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19
Plot the points below whose coordinates are given on a Cartesian coordinate system.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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20
For the piecewise-defined function below, find
A)
B)9
C)
D)6
E)20
A)
B)9
C)
D)6
E)20
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21
Use the vertical line test to determine if the following graph is the graph of a function.
A)not a function
B)function
A)not a function
B)function
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22
Find the value of x in the domain of for which .
A)4
B)2
C)8
D)-5
E)-6
for which .A)4
B)2
C)8
D)-5
E)-6
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23
An open box is to be made from a square piece of cardboard having dimensions 20 inches by 20 inches by cutting out squares of area from each corner as shown in the figure below. Express the volume V of the box as a function of x .
A)
B)
C)
D)
E)
from each corner as shown in the figure below. Express the volume V of the box as a function of x . A)
B)
C)
D)
E)
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24
Use the vertical line test to determine if the following graph is the graph of a function.
A)function
B)not a function
A)function
B)not a function
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25
A rental car company purchases an automobile for $18,800. The automobile requires an average cost of $8.15 per day in maintenance. Find a linear function that expresses the total cost C of owning the automobile after t days.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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26
The amount of federal income tax an individual owed in $year is given by where x is the adjusted gross income tax of the taxpayer. Find the income tax owed by an individual whose adjusted gross income was $124,400.
A)$31,635
B)$30,793
C)$17,010
D)$27,343
E)$29,934
an individual owed in $year is given by where x is the adjusted gross income tax of the taxpayer. Find the income tax owed by an individual whose adjusted gross income was $124,400.A)$31,635
B)$30,793
C)$17,010
D)$27,343
E)$29,934
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27
Determine the profit function, if the revenue function and cost functions are and respectively. Also find the break-even point.
A) ; , the break-even point
B) ; , the break-even point
C) ; , the break-even point
D) ; , the break-even point
E) ; , the break-even point
if the revenue function and cost functions are and respectively. Also find the break-even point.A)
; , the break-even pointB)
; , the break-even pointC)
; , the break-even pointD)
; , the break-even pointE)
; , the break-even point فتح الحزمة
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28
A rental car company purchases an automobile for $20,600. The automobile requires an average cost of $7.60 per day in maintenance. The automobile rents for $60.00 a day. Find a linear function that expresses the total revenue R when the automobile has been rented for t days.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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29
The federal minimum wage, in dollars per hour, for the years 1955 to 2005 is given in the table below. Using the data from 1955 and 1995, find a linear model (rounding the slope and intercept to 2 decimal places)that predicts the federal minimum wage for the year t . Use this model to predict in what year the federal minimum wage will exceed $5.80. Year Federal Minimum Wage 1955 0.75 1965 1.25 1975 2.10 1985 3.35 1995 4.25 2005 5.15
A)2010
B)2012
C)2013
D)2014
E)2015
A)2010
B)2012
C)2013
D)2014
E)2015
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30
Find the slope of the line that passes through the points and .
A)8
B)-8
C)0
D)undefined
E)7
and .A)8
B)-8
C)0
D)undefined
E)7
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31
Graph y as a function of x by finding the slope and y-intercept of the line below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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32
Use the vertical line test to determine if the following graph is the graph of a function.
A)not a Function
B)function
A)not a Function
B)function
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33
Given the function below, find the solution of .
A)-2
B)2
C)-7
D)-12
E)7
. A)-2
B)2
C)-7
D)-12
E)7
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34
Use the vertical line test to determine if the following graph is the graph of a function.
A)function
B)not a function
A)function
B)not a function
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35
A rental car company purchases an automobile for $20,800. The automobile requires an average cost of $7.45 per day in maintenance. The automobile rents for $65.00 a day. The profit after t days, is given by the function . Find the linear function .
A)
B)
C)
D)
E)
is given by the function . Find the linear function .A)
B)
C)
D)
E)
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36
The federal minimum wage, in dollars per hour, for the years 1955 to 2005 is given in the table below. Using the data from 1955 and 1975, find a linear model that predicts the federal minimum wage for the year t . Round to nearest hundredth. Year Federal Minimum Wage 1955 0.75 1965 1.25 1975 2.10 1985 3.35 1995 4.25 2005 5.15
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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37
A boat was purchased for $39,000. Assuming the boat depreciates at a rate of $4680 per year ( straight-line depreciation )for the first 7 years, write the value v of the boat as a function of the time t (measured in years)for .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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38
An open box is to be made from a square piece of cardboard having dimensions 28 inches by 28 inches by cutting out squares of area from each corner as shown in the figure below. If the volume of the box is given by , state the domain of V .
A)
B)
C)
D)all real numbers
E)
from each corner as shown in the figure below. If the volume of the box is given by , state the domain of V . A)
B)
C)
D)all real numbers
E)
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39
Find the equation of the line that has y -intercept and slope 4. Write the equation in the form .
A)
B)
C)
D)
E)
and slope 4. Write the equation in the form .A)
B)
C)
D)
E)
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40
Find the slope of the line that passes through the points .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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41
Find the range of .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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42
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the price per parcel that yields the maximum profit.
A)$6.00
B)$12.44
C)$18.25
D)$10.50
E)$15.00
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the price per parcel that yields the maximum profit.A)$6.00
B)$12.44
C)$18.25
D)$10.50
E)$15.00
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43
Determine whether the graph of is symmetric with respect to the x -axis and/or the y -axis.
A)symmetric with respect to the y -axis
B)symmetric with respect to the x -axis
C)symmetric with respect to both
D)symmetric with respect to neither
is symmetric with respect to the x -axis and/or the y -axis.A)symmetric with respect to the y -axis
B)symmetric with respect to the x -axis
C)symmetric with respect to both
D)symmetric with respect to neither
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44
Use the vertex formula to determine the vertex of the graph of and write the function in standard form.
A)Vertex: ;
B)Vertex: ;
C)Vertex: ;
D)Vertex: ;
E)Vertex: ;
and write the function in standard form.A)Vertex:
; B)Vertex:
; C)Vertex:
; D)Vertex:
; E)Vertex:
; فتح الحزمة
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45
The sum of the length l and the width w of a rectangular region is 260 meters. Write w as a function of l .
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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46
The height in feet of a projectile with an initial velocity of 192 feet per second and an initial height of 60 feet is a function of time t , in seconds, given by . Find the time t when the projectile reaches its maximum height.
A)8 s
B)5 s
C)4 s
D)6 s
E)7 s
. Find the time t when the projectile reaches its maximum height.A)8 s
B)5 s
C)4 s
D)6 s
E)7 s
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47
The sum of the length l and the width w of a rectangular region is 200 meters. Write the area A as a function of l .
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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48
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the revenue function.
A)
B)
C)
D)
E)
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the revenue function.A)
B)
C)
D)
E)
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49
The height in feet of a projectile with an initial velocity of 128 feet per second and an initial height of 60 feet is a function of time t , in seconds, given by . Find the maximum height of the projectile.
A)165 ft
B)414 ft
C)316 ft
D)508 ft
E)413 ft
. Find the maximum height of the projectile.A)165 ft
B)414 ft
C)316 ft
D)508 ft
E)413 ft
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50
The height in feet of a projectile with an initial velocity of 65 feet per second and an initial height of 48 feet is a function of time t , in seconds, given by . Find the time t when the projectile has a height of 0 feet. Round to nearest tenth of a second.
A)5.5 s
B)5.1 s
C)3.8 s
D)4.7 s
E)6.4 s
. Find the time t when the projectile has a height of 0 feet. Round to nearest tenth of a second.A)5.5 s
B)5.1 s
C)3.8 s
D)4.7 s
E)6.4 s
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51
Determine whether the graph of is symmetric with respect to the origin.
is symmetric with respect to the origin. فتح الحزمة
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52
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the minimum number of parcels the air freight company must ship to break even.
A)408 parcels
B)460 parcels
C)138 parcels
D)782 parcels
E)494 parcels
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the minimum number of parcels the air freight company must ship to break even.A)408 parcels
B)460 parcels
C)138 parcels
D)782 parcels
E)494 parcels
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53
Use the method of completing the square to find the standard form of the quadratic function below. State the vertex and axis of symmetry of the graph of the function.
A) , vertex , axis of symmetry
B) , vertex , axis of symmetry
C) , vertex , axis of symmetry
D) , vertex , axis of symmetry
E) , vertex , axis of symmetry
A)
, vertex , axis of symmetry B)
, vertex , axis of symmetry C)
, vertex , axis of symmetry D)
, vertex , axis of symmetry E)
, vertex , axis of symmetry فتح الحزمة
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54
Find the maximum or the minimum value of . State whether this value is a maximum or a minimum.
A)-40; minimum
B)80; maximum
C)-20; maximum
D)-20; minimum
E)8; maximum
. State whether this value is a maximum or a minimum.A)-40; minimum
B)80; maximum
C)-20; maximum
D)-20; minimum
E)8; maximum
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55
A rock attached to a string is whirled horizontally about the origin in a counterclockwise circular path with radius 5 feet. When the string breaks, the rock travels on a linear path perpendicular to the radius OP and hits the wall which is feet away. If the string breaks when the rock is at , find the x -coordinate of the point at which the rock hits the wall.
A)-6
B)-4
C)-7
D)-5
E)-8
feet away. If the string breaks when the rock is at , find the x -coordinate of the point at which the rock hits the wall. A)-6
B)-4
C)-7
D)-5
E)-8
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56
The sum of the length l and the width w of a rectangular region is 250 meters. Find the dimensions that produce the greatest area.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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57
A rental car company purchases an automobile for $21,800. The automobile requires an average cost of $7.05 per day in maintenance. The automobile rents for $45.00 a day. The profit after t days, , is given by the function . After finding the linear function , determine, to the nearest day, how many days it will take the company to break-even assuming the automobile is in use every day.
A)approximately 529 days
B)approximately 625 days
C)approximately 574 days
D)approximately 419 days
E)approximately 497 days
, is given by the function . After finding the linear function , determine, to the nearest day, how many days it will take the company to break-even assuming the automobile is in use every day.A)approximately 529 days
B)approximately 625 days
C)approximately 574 days
D)approximately 419 days
E)approximately 497 days
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58
Find the maximum or minimum value of the function below. State whether this value is a maximum or a minimum.
A)1, a minimum
B)-10, a maximum
C)-10, a minimum
D)10, a maximum
E)10, a minimum
A)1, a minimum
B)-10, a maximum
C)-10, a minimum
D)10, a maximum
E)10, a minimum
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59
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the company s maximum profit to the nearest dollar.
A)$9220
B)$3610
C)$4030
D)$12,610
E)$8480
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the company s maximum profit to the nearest dollar.A)$9220
B)$3610
C)$4030
D)$12,610
E)$8480
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60
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the profit function.
A)
B)
C)
D)
E)
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the profit function.A)
B)
C)
D)
E)
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61
Evaluate the following composite function if and .
A)49
B)54
C)48
D)47
E)46
and . A)49
B)54
C)48
D)47
E)46
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62
Use the graph of , shown below, to sketch the graph of the function below.
A)
B)
C)
D)
E)
, shown below, to sketch the graph of the function below. A)
B)
C)
D)
E)
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63
Use the graph of g, shown below, to sketch the graph of the function below. g
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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64
Find the difference quotient of .
A)
B)
C)8
D)
E)
.A)
B)
C)8
D)
E)
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65
If and , find and state the domain.
A) ;
B) ;
C) ;
D) ; all real numbers
E) ;
and , find and state the domain.A)
; B)
; C)
; D)
; all real numbersE)
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66
Use the graph of shown below, to sketch the graph of the function below.
A)
B)
C)
D)
E)
shown below, to sketch the graph of the function below. A)
B)
C)
D)
E)
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67
Determine whether is an even function, an odd function, or neither.
A)even function
B)neither
C)odd function
is an even function, an odd function, or neither.A)even function
B)neither
C)odd function
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68
Determine whether the following scatter diagram suggests a linear relationship between x and y , a nonlinear relationship between x and y , or no relationship between x and y .
A)no relationship between x and y
B)linear relationship between x and y
C)nonlinear relationship between x and y
A)no relationship between x and y
B)linear relationship between x and y
C)nonlinear relationship between x and y
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69
Use the graph of E, shown below, to sketch the graph of the function below. E
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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70
Use the graph of n, shown below, to sketch the graph of the function below. n
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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71
Use the graph of E, shown below, to sketch the graph of the function below. E
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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72
Find the difference quotient of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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73
Determine whether is an even function, an odd function, or neither.
A)odd function
B)even function
C)neither
is an even function, an odd function, or neither.A)odd function
B)even function
C)neither
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74
Evaluate where and .
A)
B)
C)
D)
E)
where and .A)
B)
C)
D)
E)
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75
Evaluate where and .
A)131
B)59
C)96
D)61
E)31
where and .A)131
B)59
C)96
D)61
E)31
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76
Evaluate where and .
A)-12
B)12
C)4
D)0
E)-61
where and .A)-12
B)12
C)4
D)0
E)-61
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77
A water tank has the shape of a right circular cone with height 18 feet and radius 14 feet. Water is running into the tank so that the radius r (in feet)of the surface of the water is given by where t is the time (in minutes)that the water has been running. The volume V of the water is given by Find and use it to determine the volume of the water when minutes. Round to the nearest tenth.
A)150.8 cubic feet
B)193.9 cubic feet
C)938.3 cubic feet
D)2326.6 cubic feet
E)1407.4 cubic feet
where t is the time (in minutes)that the water has been running. The volume V of the water is given by Find and use it to determine the volume of the water when minutes. Round to the nearest tenth.A)150.8 cubic feet
B)193.9 cubic feet
C)938.3 cubic feet
D)2326.6 cubic feet
E)1407.4 cubic feet
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78
Use the graph of g, shown below, to sketch the graph of the function below. g
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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79
Evaluate where and .
A)-32
B)-16
C)-20
D)-18
E)-2
where and .A)-32
B)-16
C)-20
D)-18
E)-2
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80
Find the difference quotient of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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