Question 1

Use a graphing calculator to find the maximum value of f(x)and the minimum value of f(x)for the indicated values of x:  
;

Accepted Answer

The answer of Use a graphing calculator to find the...

Question 2

Bill has charged $2300 on his charge card.He plans to pay $60 a month on his charge cards.Write an equation to represent the amount he owes excluding any finance charges,and identify the intercepts.

Accepted Answer

The answer of Bill has charged $2300 on his charge...

Question 3

In June,Gail decided to save $20.00 a week.She saved for 14 weeks and then for 14 weeks she spend $20.00 a week on gifts.Graph the absolute-value function to represent the amount of money Gail had in savings over the appropriate domain.

Accepted Answer

The answer of In June,Gail decided to save $20.00 a...

Question 4

The x- and y-intercepts of the graph of  + 
= 1 are
A) (4, 0), (0, 9).
B) (0, 4), (9, 0).
C) (0, ± 2) (± 3, 0).
D) (± 2, 0) (0, ± 3).
E) (0, 0), (2, 0), (0, 3).

Accepted Answer

To find the x-intercepts, we set y=0 in the equation and solve for x:

11x^2 + 11y^2 = 1
11x^2 = 1
x^2 = 1/11
x = ± sqrt(1/11)

To find the y-intercepts, we set x=0 in the equation and solve for y:

11y^2 = 1
y^2 = 1/11
y = ± sqrt(1/11)

So the intercepts are (± sqrt(1/11), 0) and (0, ± sqrt(1/11)). Simplifying the surds, we get approximately (-0.34, 0), (0.34, 0), (0, -0.34), and (0, 0.34). The closest choice to these intercepts is D, (± 2, 0) (0, ± 3). However, none of the choices match the exact values, so we choose the closest one.

Question 5

Julie lives 32 miles from the city.She drove home from the city at a constant rate of 60 mph along the highway.At the exit 2 miles from her home,she realized she had left her purse at the department store.She immediately returned to the department store at a rate of 60 mph.Graph the absolute-value function to represent Julie's distance from home as she drove home from the city over the appropriate domain.

Accepted Answer

The answer of Julie lives 32 miles from the city.She...

Question 6

Sketch the graph of  
,and give the domain and range.

Accepted Answer

The answer of Sketch the graph of  
,and give...

Question 7

Sketch the graph of  
,and give the domain and range.

Accepted Answer

The answer of Sketch the graph of  
,and give...

Question 8

Use a graphing calculator to find all real roots of the given function.Round answers to two decimal places,if necessary:

Accepted Answer

The answer of Use a graphing calculator to find all...

Question 9

By looking a the graph below:
(a)list all values for which f(x)= 0
(b)f(2)=
(c)f(-2)=
(d)domain of f is?
(e)range of f is?

Accepted Answer

The answer of By looking a the graph below:
(a)list all...

Question 10

A daily round trip train ticket to the city costs $4.25.Let x represent the passenger's income and y represent the cost of a daily round trip train ticket.Write an equation which represents the relationship between the cost of a daily round trip ticket and a passenger's income; describe the graph of this equation,and identify the intercepts.

Accepted Answer

The answer of A daily round trip train ticket to...

Question 11

The train holds 175 passengers.It departs daily at 9:00 a.m.Let x represent the time and y represent the number of passengers.Write an equation which represents the relationship between the number of passengers on the train and the train's departure time.Describe the graph of this equation,and identify the intercepts.

Accepted Answer

The answer of The train holds 175 passengers.It departs daily...

Question 12

Use a graphing calculator to find all real roots of the equation.Round answers to two decimal places,if necessary:

Accepted Answer

The answer of Use a graphing calculator to find all...

Question 13

Find the x-intercepts and the y-intercepts of y =

Accepted Answer

The answer of Find the x-intercepts and the y-intercepts of...

Question 14

Ellen's health plan has a $10.00 copayment for complete pregnancy care.Let x represent the number of prenatal visits and y represent her cost for the pregnancy.Write an equation which represents the relationship between her cost for the pregnancy and her number of prenatal visits; describe the graph of this equation,and identify the intercepts.

Accepted Answer

The answer of Ellen's health plan has a $10.00 copayment...

Question 15

The domain and range of the function f whose graph appears below is 
A) Domain: all real numbers Range: all real numbers
B) Domain: all real numbers Range: all real numbers less than or equal to 4
C) Domain: all real numbers less than or equal to 4 Range: all real numbers
D) Domain: all real numbers less than or equal to 4 Range: all nonnegative real numbers
E) Domain: all nonnegative real numbers Range: all real numbers less than or equal to 4

Accepted Answer

The answer of The domain and range of the function...

Question 16

Use a graphing calculator to find all real roots of the given function.Round answers to two decimal places,if necessary:

Accepted Answer

The answer of Use a graphing calculator to find all...

Question 17

The x- and y-intercepts of the graph of y =  are
A) (3, 0).
B) (0, -3).
C) (1,0), (0, 3).
D) (±1, 0), (0, 3).
E) (0, 0), (±1, 0), (0, -3).

Accepted Answer

The answer of The x- and y-intercepts of the graph...

Question 18

By looking a the graph below:
(a)list all values for which f(x)= -2
(b)f(-1)=
(c)f(0)=
(d)domain of f(x)is?
(e)range of f(x)is?

Accepted Answer

The answer of By looking a the graph below:
(a)list all...

Question 19

The domain and range of the function f whose graph appears below is 
A) Domain: all real numbers Range: all real numbers
B) Domain: all real numbers Range: all real numbers greater than or equal to -1
C) Domain: all real numbers greater than or equal to -1 Range: all real numbers
D) Domain: all real numbers Range: all nonnegative real numbers
E) Domain: all nonnegative real numbers Range: all real numbers less than or equal to -1

Accepted Answer

The answer of The domain and range of the function...

Question 20

Tom has saved $1500 for a vacation.He plans to spend $250 a week on his vacation.Write an equation to represent the amount in savings and identify the intercepts.

Accepted Answer

The answer of Tom has saved $1500 for a vacation.He...

Quiz 3: Functions and Graphs

Use a graphing calculator to find the maximum value of f(x)and the minimum value of f(x)for the indicated values of x: ;

Bill has charged $2300 on his charge card.He plans to pay $60 a month on his charge cards.Write an equation to represent the amount he owes excluding any finance charges,and identify the intercepts.

In June,Gail decided to save $20.00 a week.She saved for 14 weeks and then for 14 weeks she spend $20.00 a week on gifts.Graph the absolute-value function to represent the amount of money Gail had in savings over the appropriate domain.

The x- and y-intercepts of the graph of + = 1 are

Sketch the graph of ,and give the domain and range.

Sketch the graph of ,and give the domain and range.

Use a graphing calculator to find all real roots of the given function.Round answers to two decimal places,if necessary:

By looking a the graph below: (a)list all values for which f(x)= 0 (b)f(2)= (c)f(-2)= (d)domain of f is? (e)range of f is?

Use a graphing calculator to find all real roots of the equation.Round answers to two decimal places,if necessary:

Find the x-intercepts and the y-intercepts of y =

The domain and range of the function f whose graph appears below is

Use a graphing calculator to find all real roots of the given function.Round answers to two decimal places,if necessary:

The x- and y-intercepts of the graph of y = are

By looking a the graph below: (a)list all values for which f(x)= -2 (b)f(-1)= (c)f(0)= (d)domain of f(x)is? (e)range of f(x)is?

The domain and range of the function f whose graph appears below is

Tom has saved $1500 for a vacation.He plans to spend $250 a week on his vacation.Write an equation to represent the amount in savings and identify the intercepts.