Question 1

Illustrate the set on a number line.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 2

Use a calculator to obtain at least eight points that are solutions to the equation. Then graph the equation by plotting
points.
-

Accepted Answer

The answer of Use a calculator to obtain at least...

Question 3

Solve the problem.
-The gas mileage, m, of a compact car is a linear function of the speed, s, at which the car is driven, for 40 ≤ s ≤ 90. For example, from the graph we see that the gas mileage for the compact car is 45 miles per gallon if the car is
Driven at a speed of 40 mph.  i) Using the two points on the graph, determine the function m(s) that can be used to approximate the graph.
Ii) Using the function from part i, estimate the gas mileage if the compact car is traveling 43 mph. If necessary, round
To the nearest tenth.
Iii) Using the function from part i, estimate the speed of the compact car if the gas mileage is 41 miles per gallon. If
Necessary, round to the nearest tenth.

Accepted Answer

A)   
B)   
C)   
D)

Question 4

Determine whether the graph illustrated represents a function. Give the domain and range of the relation or function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 5

Express in set builder notation the set of numbers indicated on the number line.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Solve the problem.
-The graph below shows the total sales of houses in a town from 2000 to 2005. The graph also shows the sale of houses in the summer , S, and in the other times of the year, Y.  Estimate The number of houses sold at other times in 2002.

Accepted Answer

A)  34 
B)  47 
C)  23 
D)  27

Question 7

Find the equation of a line with the properties given. Write the equation in the form indicated.
-Through (2, 4) and parallel to the line whose equation is 5x + y = 9; slope-intercept form

Accepted Answer

A)   
B)  y = 5x - 14 
C)  y = -5x + 14 
D)  y = -5x - 14

Question 8

Solve the problem.
-In 1995, the average annual salary for elementary school teachers was $24, 269. In 2000, the average annual salary for elementary school teachers was $28,148. Let S be the average annual salary in the year x, where x = 0
Represents the year 1995.
a) Write a linear function that models the average annual salary for elementary school teachers in terms of year x.
b) Use this function to determine the average annual salary for elementary school teachers in 2005.

Accepted Answer

A)   
B)   
C)   
D)

Question 9

Graph the equation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 10

Determine whether the two given lines are parallel, perpendicular, or neither.
-x = y + 6 y = 3x - 4

Accepted Answer

A)  parallel 
B)  perpendicular 
C)  neither

Question 11

Solve the problem.
-The graph shows the projected radio sales (in millions) for a particular company.  Determine the average rate of change from 2005 to 2008. Round to two decimal places if necessary.

Accepted Answer

A)  15 
B)  5 
C)  10 
D)  8.33

Question 12

Solve the problem.
-The population of fruit flies, p, after n days from the first mating of ten flies is given by the function

Accepted Answer

A)   
B)   
C)   
D)

Question 13

Determine if the relation illustrated is a function. Give the domain and range of the function or relation.
-{(-4, 11), (-3, 4), (0, -5), (3, 4), (5, 20)}

Accepted Answer

A)   
B)   
C)   
D)

Question 14

Provide an appropriate response.
-A relation is any set of .

Accepted Answer

A)  domains 
B)  x-coordinates 
C)  y-coordinates 
D)  ordered pairs

Question 15

Graph the equation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 16

Determine whether the two given lines are parallel, perpendicular, or neither.
-

Accepted Answer

A)  parallel 
B)  perpendicular 
C)  neither

Question 17

Determine whether the two given lines are parallel, perpendicular, or neither.
-

Accepted Answer

A)  parallel 
B)  perpendicular 
C)  neither

Question 18

Find the equation of a line with the properties given. Write the equation in the form indicated.
-Passing through (3, 3) and perpendicular to the line whose equation is -9x + y = 5; slope-intercept form

Accepted Answer

A)   
B)   
C)   
D)  y = - 9x - 30

Question 19

Evaluate the function for the indicated value.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 20

Solve the problem.
-A truck rental company rents a moving truck one day by charging $27 plus $0.13 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. What is the cost
Of renting the truck if the truck is driven 190 miles?

Accepted Answer

A)  C(x) = 0.13x - 27; -$2.30 
B)  C(x) = 27x + 0.13; $5130.13 
C)  C(x) = 0.13x + 27; $51.70 
D)  C(x) = 0.13x + 27; $29.47

Exam 8: Functions and Their Graphs

Illustrate the set on a number line. -

Use a calculator to obtain at least eight points that are solutions to the equation. Then graph the equation by plotting points. -

Determine whether the graph illustrated represents a function. Give the domain and range of the relation or function. -

Express in set builder notation the set of numbers indicated on the number line. -

Solve the problem. -The graph below shows the total sales of houses in a town from 2000 to 2005. The graph also shows the sale of houses in the summer , S, and in the other times of the year, Y. Estimate The number of houses sold at other times in 2002.

Find the equation of a line with the properties given. Write the equation in the form indicated. -Through (2, 4) and parallel to the line whose equation is 5x + y = 9; slope-intercept form

Graph the equation. -

Determine whether the two given lines are parallel, perpendicular, or neither. -x = y + 6 y = 3x - 4

Solve the problem. -The graph shows the projected radio sales (in millions) for a particular company. Determine the average rate of change from 2005 to 2008. Round to two decimal places if necessary.

Solve the problem. -The population of fruit flies, p, after n days from the first mating of ten flies is given by the function

Determine if the relation illustrated is a function. Give the domain and range of the function or relation. -{(-4, 11) , (-3, 4) , (0, -5) , (3, 4) , (5, 20) }

Provide an appropriate response. -A relation is any set of .

Graph the equation. -

Determine whether the two given lines are parallel, perpendicular, or neither. -

Determine whether the two given lines are parallel, perpendicular, or neither. -

Find the equation of a line with the properties given. Write the equation in the form indicated. -Passing through (3, 3) and perpendicular to the line whose equation is -9x + y = 5; slope-intercept form

Evaluate the function for the indicated value. -

Solve the problem. -A truck rental company rents a moving truck one day by charging $27 plus $0.13 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. What is the cost Of renting the truck if the truck is driven 190 miles?