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Deck 7: Power Functions
ملء الشاشة (f)
سؤال
The function,
,
gives the perimeter of a square as a function of the length of a side.
By what factor does the perimeter increase when the length of a side is tripled?
,gives the perimeter of a square as a function of the length of a side.
By what factor does the perimeter increase when the length of a side is tripled?
سؤال
The function,
,
gives the area of a circle as a function of its radius.
By what factor does the area increase when its radius is quadrupled?
,gives the area of a circle as a function of its radius.
By what factor does the area increase when its radius is quadrupled?
سؤال
The function,
,
gives the volume of a sphere as a function of its radius.
By what factor does the volume increase when its radius is quadrupled?
,gives the volume of a sphere as a function of its radius.
By what factor does the volume increase when its radius is quadrupled?
سؤال
The function,
,
Gives the area of a 10-inch long rectangle as a function of its width.
By what factor does the area increase when its width is quadrupled?
A) 40
B) 4
C) 0.4
D) 16
,Gives the area of a 10-inch long rectangle as a function of its width.
By what factor does the area increase when its width is quadrupled?
A) 40
B) 4
C) 0.4
D) 16
سؤال
The function,
,
Gives the area of a circle as a function of its radius.
By what factor does the area increase when its radius is doubled?
A) 2
B) 12
C) 4
D) 0.75
,Gives the area of a circle as a function of its radius.
By what factor does the area increase when its radius is doubled?
A) 2
B) 12
C) 4
D) 0.75
سؤال
The function,
,
Gives the volume of a cube as a function of the length of a side.
By what factor does the volume increase when the length of a side is quadrupled?
A) 85
B) 4
C) 3
D) 64
,Gives the volume of a cube as a function of the length of a side.
By what factor does the volume increase when the length of a side is quadrupled?
A) 85
B) 4
C) 3
D) 64
سؤال
In which function does the output, y, increase by a factor of 8 when the input, x, is doubled?
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
In which function does the output, y, increase by a factor of 9 when the input, x, is tripled?
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
In which function does the output, y, increase by a factor of 16 when the input, x, is quadrupled?
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
سؤال
سؤال
سؤال
سؤال
سؤال
سؤال
سؤال
سؤال
سؤال
سؤال
سؤال
Determine which one of the following functions is a power function.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
For the power function below identify A) k and B) p.
سؤال
Given that y is directly proportional to x and 
when 
, find a formula to describe the relationship.
when , find a formula to describe the relationship. سؤال
Given that y is directly proportional to x, and 
when 
, find y when 
.
when , find y when . سؤال
Given that y is directly proportional to x, and 
when 
,
A) find a general formula to describe the relationship, and
B) use the formula to find y when
.
when ,A) find a general formula to describe the relationship, and
B) use the formula to find y when
. سؤال
Given that y is directly proportional to the cube root of x, and 
when 
, find a formula to describe the relationship.
Write your answer in the form
.
when , find a formula to describe the relationship.Write your answer in the form
. سؤال
Given that y is directly proportional to the square of x, and 
when 
, the formula 
describes this relationship.
Find A) p and B) k.
when , the formula describes this relationship.Find A) p and B) k.
سؤال
Given that y is directly proportional to the square root of x, and 
when 
, the formula 
describes this relationship. Find p and k.
A) p is 19.5 and k is 15.21
B) p is 5 and k is 1/2
C) p is 15.21 and k is 19.5
D) p is 1/2 and k is 5
when , the formula describes this relationship. Find p and k.A) p is 19.5 and k is 15.21
B) p is 5 and k is 1/2
C) p is 15.21 and k is 19.5
D) p is 1/2 and k is 5
سؤال
Given that y is directly proportional to the cube of x, and 
when 
, find y when 
.
Round to two decimal places, if necessary.
when , find y when .Round to two decimal places, if necessary.
سؤال
Given that y is directly proportional to the square of x, and 
when 
,
A) find a formula to describe the relationship (Write your answer in the form
) and,
B) use the formula to find y when
. Round your answer to 2 decimal places, if necessary.
when , A) find a formula to describe the relationship (Write your answer in the form
) and,B) use the formula to find y when
. Round your answer to 2 decimal places, if necessary. سؤال
The cost, C, of a diamond is directly proportional to the square of its weight, w (in carats).
A 0.5-carat diamond costs 2,250 dollars.
A) Find a general formula to describe the relationship, (Write your answer in the form
), and
B) use the formula to find the cost, in dollars, of a 3.5-carat diamond.
A 0.5-carat diamond costs 2,250 dollars.
A) Find a general formula to describe the relationship, (Write your answer in the form
), andB) use the formula to find the cost, in dollars, of a 3.5-carat diamond.
سؤال
سؤال
If y is directly proportional to the cube of x, by what factor does y change when x triples?
A)
B) 3
C)
D) 1/3
A)
B) 3
C)
D) 1/3
سؤال
If w is jointly proportional to the square root of x and to the square of y, and 
when 
and 
, then find a general formula to describe the relationship. Use fractional exponents rather than radicals, if necessary.
when and , then find a general formula to describe the relationship. Use fractional exponents rather than radicals, if necessary. سؤال
If w is jointly proportional to the square of x and to y, and 
when 
and 
, then find w when 
and 
. Round your answer to 2 decimal places, if necessary.
when and , then find w when and . Round your answer to 2 decimal places, if necessary. سؤال
If w is jointly proportional to the cube of x and to the cube of y, and 
when 
and 
, then
A) find a general formula to describe the relationship (use fractional exponents rather than radicals, if necessary) and,
B) use the formula to find w when
and 
. Round your answer to 2 decimal places, if necessary.
when and , thenA) find a general formula to describe the relationship (use fractional exponents rather than radicals, if necessary) and,
B) use the formula to find w when
and . Round your answer to 2 decimal places, if necessary. سؤال
سؤال
Evaluate the following function when x = -2.
سؤال
Which of the following is the graph of a power function?
A)
B)
C)
A)
B)
C)
سؤال
What description best fits the power function, 
, pictured?
A) k is negative and p is odd
B) k is positive and p is odd
C) k is negative and p is even
D) k is positive and p is even
, pictured?A) k is negative and p is odd
B) k is positive and p is odd
C) k is negative and p is even
D) k is positive and p is even
سؤال
Which of the following is the graph of a power function, 
, where k is positive and p is odd?
A)
B)
C)
D)
, where k is positive and p is odd?A)
B)
C)
D)
سؤال
Find the description that best fits a power function, 
, where 
and 
.
A) k is negative and p is even
B) k is negative and p is odd
C) k is positive and p is even
D) k is positive and p is odd
, where and .A) k is negative and p is even
B) k is negative and p is odd
C) k is positive and p is even
D) k is positive and p is odd
سؤال
Find the description that best fits a power function, 
, where k is positive and p is odd.
A)
and 
B)
and 
C)
and 
D)
and 
, where k is positive and p is odd.A)
and B)
and C)
and D)
and سؤال
Which graph is the graph of a power function, 
, that has an odd p?
A) A
B) B
C) neither
D) both
, that has an odd p?A) A
B) B
C) neither
D) both
سؤال
Which of the following describes the function, 
?
A)
B)
C) both A and B
D) neither A or B
?A)
B)
C) both A and B
D) neither A or B
سؤال
Both graphs below are power functions of the form 
. Which graph has a larger k?
A) A
B) B
. Which graph has a larger k?A) A
B) B
سؤال
Both graphs below are power functions of the form 
. Which graph has a larger k?
A) A
B) B
. Which graph has a larger k?A) A
B) B
سؤال
Graph A is the graph of 
, and graph B is the graph of 
. What is the value of k?
, and graph B is the graph of . What is the value of k? سؤال
Graph A is the graph of 
, and graph B is the graph of 
. What is the value of k?
, and graph B is the graph of . What is the value of k? سؤال
سؤال
Sketch a graph of the power function y = 3x3.
سؤال
Sketch a graph of the power function y = 4x8.
سؤال
سؤال
For 
and 
As 
which of the following is true?
A)
B)
and As which of the following is true?A)
B)
سؤال
As 
which function dominates, 
or 
?
A)
B)
which function dominates, or ?A)
B)
سؤال
سؤال
سؤال
Compare the functions f(x) = 6x6 and g(x) = 6x. On the interval , 
A) f(x) < g(x)
B) f(x) = g(x)
C) f(x) > g(x)
A) f(x) < g(x)
B) f(x) = g(x)
C) f(x) > g(x)
سؤال
Which graph represents the function f(x) = 8x8?
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Which graph represents the function f(x) = 7x7?
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Which graph represents the function f(x) = -12x12?
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Which graph represents the function f(x) = 3x3?
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Which graph represents the function f(x) = 7x?
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Which graph represents the function f(x) = 5-x?
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
سؤال
سؤال
سؤال
سؤال
Given that y is inversely proportional to the square of x and 
when 
, find a general formula to describe the relationship.
Write your answer with positive exponents.
when , find a general formula to describe the relationship.Write your answer with positive exponents.
سؤال
Given that y is inversely proportional to the cube root of x and 
when 
, the formula 
describes this relationship.
Find A) p and B) k.
when , the formula describes this relationship.Find A) p and B) k.
سؤال
Given that y is inversely proportional to the square of x and 
when 
, the formula 
describes this relationship. Find p and k.
A) p is 54 and k is 2
B) p is 6 and k is 3
C) p is 2 and k is 54
D) p is 3 and k is 6
when , the formula describes this relationship. Find p and k.A) p is 54 and k is 2
B) p is 6 and k is 3
C) p is 2 and k is 54
D) p is 3 and k is 6
سؤال
Given that y is inversely proportional to the square root of x and 
when 
, find y when 
.
Round your answer to 2 decimal places, if necessary.
when , find y when .Round your answer to 2 decimal places, if necessary.
سؤال
Given that y is inversely proportional to the cube root of x and 
when 
,
A) find a general formula to describe the relationship (write your answer with positive exponents) and,
B) use the formula to find y when
. Round your answer to 2 decimal places, if necessary.
when , A) find a general formula to describe the relationship (write your answer with positive exponents) and,
B) use the formula to find y when
. Round your answer to 2 decimal places, if necessary. سؤال
سؤال
Given that w is directly proportional to x and inversely proportional to y, and 
when 
and 
, find a formula to describe this relationship. Use only positive exponents and use fractional exponents rather than radicals, if necessary. Round values to 2 decimal places, if necessary.
when and , find a formula to describe this relationship. Use only positive exponents and use fractional exponents rather than radicals, if necessary. Round values to 2 decimal places, if necessary. سؤال
Given that w is directly proportional to the square root of x and inversely proportional to y, and 
when 
and 
, find w when 
and 
. Round your answer to 2 decimal places, if necessary.
when and , find w when and . Round your answer to 2 decimal places, if necessary. سؤال
Given that w is directly proportional to the cube of x and inversely proportional to the square root of y and, 
when 
and 
,
A) find a formula to describe the relationship (use only positive exponents and fractional exponents rather than radicals, if necessary) and,
B) use the formula to find w when
and 
. Round your answer to 2 decimal places, if necessary.
when and ,A) find a formula to describe the relationship (use only positive exponents and fractional exponents rather than radicals, if necessary) and,
B) use the formula to find w when
and . Round your answer to 2 decimal places, if necessary. سؤال
سؤال
سؤال
What description best fits the power function, 
, pictured?
A) k is negative and p is negative and odd
B) k is positive and p is negative and odd
C) k is negative and p is negative and even
D) k is positive and p is negative and even
, pictured?A) k is negative and p is negative and odd
B) k is positive and p is negative and odd
C) k is negative and p is negative and even
D) k is positive and p is negative and even
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العب
ملء الشاشة (f)
Deck 7: Power Functions
1
The function,
,
gives the perimeter of a square as a function of the length of a side.
By what factor does the perimeter increase when the length of a side is tripled?
,gives the perimeter of a square as a function of the length of a side.
By what factor does the perimeter increase when the length of a side is tripled?
3
2
The function,
,
gives the area of a circle as a function of its radius.
By what factor does the area increase when its radius is quadrupled?
,gives the area of a circle as a function of its radius.
By what factor does the area increase when its radius is quadrupled?
16
3
The function,
,
gives the volume of a sphere as a function of its radius.
By what factor does the volume increase when its radius is quadrupled?
,gives the volume of a sphere as a function of its radius.
By what factor does the volume increase when its radius is quadrupled?
64
4
The function,
,
Gives the area of a 10-inch long rectangle as a function of its width.
By what factor does the area increase when its width is quadrupled?
A) 40
B) 4
C) 0.4
D) 16
,Gives the area of a 10-inch long rectangle as a function of its width.
By what factor does the area increase when its width is quadrupled?
A) 40
B) 4
C) 0.4
D) 16
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5
The function,
,
Gives the area of a circle as a function of its radius.
By what factor does the area increase when its radius is doubled?
A) 2
B) 12
C) 4
D) 0.75
,Gives the area of a circle as a function of its radius.
By what factor does the area increase when its radius is doubled?
A) 2
B) 12
C) 4
D) 0.75
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6
The function,
,
Gives the volume of a cube as a function of the length of a side.
By what factor does the volume increase when the length of a side is quadrupled?
A) 85
B) 4
C) 3
D) 64
,Gives the volume of a cube as a function of the length of a side.
By what factor does the volume increase when the length of a side is quadrupled?
A) 85
B) 4
C) 3
D) 64
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7
In which function does the output, y, increase by a factor of 8 when the input, x, is doubled?
A)
B)
C)
D)
A)
B)
C)
D)
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8
In which function does the output, y, increase by a factor of 9 when the input, x, is tripled?
A)
B)
C)
D)
A)
B)
C)
D)
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9
In which function does the output, y, increase by a factor of 16 when the input, x, is quadrupled?
A)
B)
C)
D)
A)
B)
C)
D)
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10
Solve the formula, F = 2·m·a for m.
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11
Find the surface area of a sphere with a radius of 4 meters.
Round the answer to 2 decimal places.
Round the answer to 2 decimal places.
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12
Find the Volume area of a sphere with a radius of 7 meters.
Round the answer to 2 decimal places.
Round the answer to 2 decimal places.
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13
Find the radius of a sphere with a surface area of 113.10 feet2.
Round the answer to the nearest foot.
Round the answer to the nearest foot.
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14
Find the radius of a sphere with a volume of 3,053.63 meters3.
Round the answer to the nearest meter.
Round the answer to the nearest meter.
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15
Find the volume of a cylinder with a radius of 6 ft and a height of 11 ft.
Round the answer to 2 decimal places.
Round the answer to 2 decimal places.
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16
Find the surface area of a cylinder with a radius of 5 m and a height of 9 m.
Round the answer to 2 decimal places.
Round the answer to 2 decimal places.
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17
A sphere with radius 12 m and a cylinder with radius 12 m are to have the same volume. What must be the height of the cylinder?
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18
Assume a box has a square base with a side of length x and the side of the base is 4 times the height. Write a function for the volume of the box.
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19
Assume a box has a square base, a height of x, and the side of the base is 4 times the height. Write a function for the volume of the box.
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20
A sculptor has been inspired by a teacher in his youth and now wants to commemorate the teacher by creating a sculptor of her. The sculptor first makes a model that is 12 inches tall and contains 16.8 cubic inches of clay. How many cubic inches of clay will be required for the final sculpture if it is to be 60 inches tall?
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21
Determine which one of the following functions is a power function.
A)
B)
C)
D)
A)
B)
C)
D)
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22
For the power function below identify A) k and B) p.
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23
Given that y is directly proportional to x and when , find a formula to describe the relationship.
when , find a formula to describe the relationship. فتح الحزمة
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24
Given that y is directly proportional to x, and when , find y when .
when , find y when . فتح الحزمة
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25
Given that y is directly proportional to x, and when ,
A) find a general formula to describe the relationship, and
B) use the formula to find y when .
when ,A) find a general formula to describe the relationship, and
B) use the formula to find y when
. فتح الحزمة
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26
Given that y is directly proportional to the cube root of x, and when , find a formula to describe the relationship.
Write your answer in the form .
when , find a formula to describe the relationship.Write your answer in the form
. فتح الحزمة
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27
Given that y is directly proportional to the square of x, and when , the formula describes this relationship.
Find A) p and B) k.
when , the formula describes this relationship.Find A) p and B) k.
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28
Given that y is directly proportional to the square root of x, and when , the formula describes this relationship. Find p and k.
A) p is 19.5 and k is 15.21
B) p is 5 and k is 1/2
C) p is 15.21 and k is 19.5
D) p is 1/2 and k is 5
when , the formula describes this relationship. Find p and k.A) p is 19.5 and k is 15.21
B) p is 5 and k is 1/2
C) p is 15.21 and k is 19.5
D) p is 1/2 and k is 5
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29
Given that y is directly proportional to the cube of x, and when , find y when .
Round to two decimal places, if necessary.
when , find y when .Round to two decimal places, if necessary.
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30
Given that y is directly proportional to the square of x, and when ,
A) find a formula to describe the relationship (Write your answer in the form ) and,
B) use the formula to find y when . Round your answer to 2 decimal places, if necessary.
when , A) find a formula to describe the relationship (Write your answer in the form
) and,B) use the formula to find y when
. Round your answer to 2 decimal places, if necessary. فتح الحزمة
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31
The cost, C, of a diamond is directly proportional to the square of its weight, w (in carats).
A 0.5-carat diamond costs 2,250 dollars.
A) Find a general formula to describe the relationship, (Write your answer in the form ), and
B) use the formula to find the cost, in dollars, of a 3.5-carat diamond.
A 0.5-carat diamond costs 2,250 dollars.
A) Find a general formula to describe the relationship, (Write your answer in the form
), andB) use the formula to find the cost, in dollars, of a 3.5-carat diamond.
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32
The cost, C, of a diamond is directly proportional to the square of its weight, w (in carats).
If a 1-carat diamond costs 8,500 dollars, find the cost, in dollars, of a 4-carat diamond.
If a 1-carat diamond costs 8,500 dollars, find the cost, in dollars, of a 4-carat diamond.
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33
If y is directly proportional to the cube of x, by what factor does y change when x triples?
A)
B) 3
C)
D) 1/3
A)
B) 3
C)
D) 1/3
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34
If w is jointly proportional to the square root of x and to the square of y, and when and , then find a general formula to describe the relationship. Use fractional exponents rather than radicals, if necessary.
when and , then find a general formula to describe the relationship. Use fractional exponents rather than radicals, if necessary. فتح الحزمة
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k this deck
35
If w is jointly proportional to the square of x and to y, and when and , then find w when and . Round your answer to 2 decimal places, if necessary.
when and , then find w when and . Round your answer to 2 decimal places, if necessary. فتح الحزمة
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k this deck
36
If w is jointly proportional to the cube of x and to the cube of y, and when and , then
A) find a general formula to describe the relationship (use fractional exponents rather than radicals, if necessary) and,
B) use the formula to find w when and . Round your answer to 2 decimal places, if necessary.
when and , thenA) find a general formula to describe the relationship (use fractional exponents rather than radicals, if necessary) and,
B) use the formula to find w when
and . Round your answer to 2 decimal places, if necessary. فتح الحزمة
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k this deck
37
The cost, C, of copper tubing is jointly proportional to the length, l, of the pipe and the square of the diameter, d, of the pipe.
A 32-inch length of 1-inch diameter copper tubing costs $48.00.
A) Find a general formula to describe the relationship, and
B) use the formula to find the cost, in dollars, of a 44-inch length of 1.5-inch diameter copper pipe.Round your answer to 2 decimal places, if necessary.
A 32-inch length of 1-inch diameter copper tubing costs $48.00.
A) Find a general formula to describe the relationship, and
B) use the formula to find the cost, in dollars, of a 44-inch length of 1.5-inch diameter copper pipe.Round your answer to 2 decimal places, if necessary.
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38
Evaluate the following function when x = -2.
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39
Which of the following is the graph of a power function?
A)
B)
C)
A)
B)
C)
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40
What description best fits the power function, , pictured?
A) k is negative and p is odd
B) k is positive and p is odd
C) k is negative and p is even
D) k is positive and p is even
, pictured?A) k is negative and p is odd
B) k is positive and p is odd
C) k is negative and p is even
D) k is positive and p is even
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41
Which of the following is the graph of a power function, , where k is positive and p is odd?
A)
B)
C)
D)
, where k is positive and p is odd?A)
B)
C)
D)
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42
Find the description that best fits a power function, , where and .
A) k is negative and p is even
B) k is negative and p is odd
C) k is positive and p is even
D) k is positive and p is odd
, where and .A) k is negative and p is even
B) k is negative and p is odd
C) k is positive and p is even
D) k is positive and p is odd
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43
Find the description that best fits a power function, , where k is positive and p is odd.
A) and
B) and
C) and
D) and
, where k is positive and p is odd.A)
and B)
and C)
and D)
and فتح الحزمة
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44
Which graph is the graph of a power function, , that has an odd p?
A) A
B) B
C) neither
D) both
, that has an odd p?A) A
B) B
C) neither
D) both
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45
Which of the following describes the function, ?
A)
B)
C) both A and B
D) neither A or B
?A)
B)
C) both A and B
D) neither A or B
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46
Both graphs below are power functions of the form . Which graph has a larger k?
A) A
B) B
. Which graph has a larger k?A) A
B) B
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47
Both graphs below are power functions of the form . Which graph has a larger k?
A) A
B) B
. Which graph has a larger k?A) A
B) B
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48
Graph A is the graph of , and graph B is the graph of . What is the value of k?
, and graph B is the graph of . What is the value of k? فتح الحزمة
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49
Graph A is the graph of , and graph B is the graph of . What is the value of k?
, and graph B is the graph of . What is the value of k? فتح الحزمة
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50
Are f(x) = 3x9 and g(x) = -3x9 reflections of each other across the horizontal axis?
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51
Sketch a graph of the power function y = 3x3.
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52
Sketch a graph of the power function y = 4x8.
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53
The graph of a function of the form f(x) = -5xp, is symmetrical about the horizontal axis when p is even.
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54
For and As which of the following is true?
A)
B)
and As which of the following is true?A)
B)
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55
As which function dominates, or ?
A)
B)
which function dominates, or ?A)
B)
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56
For 0 < x < 5, where do the graphs of f(x) = 9x9 and g(x) = 9x intersect?
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57
Compare the functions f(x) = 2x2 and g(x) = 2x. On the interval (1, 5),
A) f(x) < g(x)
B) f(x) = g(x)
C) f(x) > g(x)
A) f(x) < g(x)
B) f(x) = g(x)
C) f(x) > g(x)
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58
Compare the functions f(x) = 6x6 and g(x) = 6x. On the interval ,
A) f(x) < g(x)
B) f(x) = g(x)
C) f(x) > g(x)
A) f(x) < g(x)
B) f(x) = g(x)
C) f(x) > g(x)
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59
Which graph represents the function f(x) = 8x8?
A)
B)
C)
D)
A)
B)
C)
D)
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60
Which graph represents the function f(x) = 7x7?
A)
B)
C)
D)
A)
B)
C)
D)
فتح الحزمة
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61
Which graph represents the function f(x) = -12x12?
A)
B)
C)
D)
A)
B)
C)
D)
فتح الحزمة
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62
Which graph represents the function f(x) = 3x3?
A)
B)
C)
D)
A)
B)
C)
D)
فتح الحزمة
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63
Which graph represents the function f(x) = 7x?
A)
B)
C)
D)
A)
B)
C)
D)
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64
Which graph represents the function f(x) = 5-x?
A)
B)
C)
D)
A)
B)
C)
D)
فتح الحزمة
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65
Given the points (2, 24) and (4, 192), find the power function of the form y = axp that goes through the two points.
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66
Given the points (2, 4) and (4, 16), find the power function of the form y = ax that goes through the two points.
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67
Given that y is inversely proportional to x, and y = 4 when x = 21. Find a general formula to describe the relationship.
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68
Given that y is inversely proportional to x, and y = 10 when x = 15. Find y when x is 25.
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69
Given that y is inversely proportional to the square of x and when , find a general formula to describe the relationship.
Write your answer with positive exponents.
when , find a general formula to describe the relationship.Write your answer with positive exponents.
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70
Given that y is inversely proportional to the cube root of x and when , the formula describes this relationship.
Find A) p and B) k.
when , the formula describes this relationship.Find A) p and B) k.
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71
Given that y is inversely proportional to the square of x and when , the formula describes this relationship. Find p and k.
A) p is 54 and k is 2
B) p is 6 and k is 3
C) p is 2 and k is 54
D) p is 3 and k is 6
when , the formula describes this relationship. Find p and k.A) p is 54 and k is 2
B) p is 6 and k is 3
C) p is 2 and k is 54
D) p is 3 and k is 6
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72
Given that y is inversely proportional to the square root of x and when , find y when .
Round your answer to 2 decimal places, if necessary.
when , find y when .Round your answer to 2 decimal places, if necessary.
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73
Given that y is inversely proportional to the cube root of x and when ,
A) find a general formula to describe the relationship (write your answer with positive exponents) and,
B) use the formula to find y when . Round your answer to 2 decimal places, if necessary.
when , A) find a general formula to describe the relationship (write your answer with positive exponents) and,
B) use the formula to find y when
. Round your answer to 2 decimal places, if necessary. فتح الحزمة
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74
The percentage of sunlight, s, that filters through water is inversely proportional to the depth of the water, d. If 10 meters below the surface only 25% of sunlight is visible, find what percent of sunlight will be visible 30 meters below the surface.
Round your answer to 2 decimal places, if necessary.
Round your answer to 2 decimal places, if necessary.
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75
Given that w is directly proportional to x and inversely proportional to y, and when and , find a formula to describe this relationship. Use only positive exponents and use fractional exponents rather than radicals, if necessary. Round values to 2 decimal places, if necessary.
when and , find a formula to describe this relationship. Use only positive exponents and use fractional exponents rather than radicals, if necessary. Round values to 2 decimal places, if necessary. فتح الحزمة
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76
Given that w is directly proportional to the square root of x and inversely proportional to y, and when and , find w when and . Round your answer to 2 decimal places, if necessary.
when and , find w when and . Round your answer to 2 decimal places, if necessary. فتح الحزمة
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77
Given that w is directly proportional to the cube of x and inversely proportional to the square root of y and, when and ,
A) find a formula to describe the relationship (use only positive exponents and fractional exponents rather than radicals, if necessary) and,
B) use the formula to find w when and . Round your answer to 2 decimal places, if necessary.
when and ,A) find a formula to describe the relationship (use only positive exponents and fractional exponents rather than radicals, if necessary) and,
B) use the formula to find w when
and . Round your answer to 2 decimal places, if necessary. فتح الحزمة
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78
The amount of time needed to paint the interior of an office building is directly proportional to the square footage of the building and inversely proportional to the number of painters on the job. If 6 painters needed 77 hours to paint a 44,000 square foot office building, find how many hours would it take for 7 painters to paint a 34,000 square foot office building?
Round your answer to 2 decimal places, if necessary.
Round your answer to 2 decimal places, if necessary.
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79
The gravitational force between two heavenly bodies is inversely proportional to the square of the distance between the two bodies. If two planets that are 3,400 Gm apart share a gravitational attraction of 0.004343 N, what would the force between two planets of similar size that are 8400 Gm apart? Round the answer to 6 decimal places if necessary.
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80
What description best fits the power function, , pictured?
A) k is negative and p is negative and odd
B) k is positive and p is negative and odd
C) k is negative and p is negative and even
D) k is positive and p is negative and even
, pictured?A) k is negative and p is negative and odd
B) k is positive and p is negative and odd
C) k is negative and p is negative and even
D) k is positive and p is negative and even
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