Question 1

For the function   , find the local maximum value of f .

Accepted Answer

A)  1.6 
B)  -0.6 
C)  0 
D)  1 
E)  0.25 
A)  1.6 
B)  -0.6 
C)  0 
D)  1 
E)  0.25

Question 2

The table below describes the average temperatures for Portland, OR during a given year. What is the median temperature for the year?

Accepted Answer

A)  64.5 
B)  67.0 
C)  75.0 
D)  71.0 
E)  64.0 
A)  64.5 
B)  67.0 
C)  75.0 
D)  71.0 
E)  64.0

Question 3

The following table shows data for the cost of humidifiers based on the number of humidifiers produced. Find a linear model for the cost C of producing x humidifiers.

Accepted Answer

A)  C = 1.05 + 87 x 
B)  C = 1.05 x 
C)  C = 87 + 1.05 x 
D)  C = 87 + 20 x 
E)  C = 87 x 
A)  C = 1.05 + 87 x 
B)  C = 1.05 x 
C)  C = 87 + 1.05 x 
D)  C = 87 + 20 x 
E)  C = 87 x

Question 4

Use the following graph to create an algebra model for the function.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 5

Given the table below, is the variable y a function of the variable x ?

Accepted Answer

A) True 
 B)False

Question 6

Which one of the following best describes the function   ?

Accepted Answer

A)  The rule h is "divide the input by 4 and subtract 1, then multiply by 6." 
B)  The rule h is "multiply the input by 6 and subtract 1, then divide by 4." 
C)  The rule h is "multiply the input by 6 and divide by 4, then subtract 1." 
D)  The rule h is "divide 6 by 4 and multiply by the input, then subtract 1." 
E)  The rule h is "subtract 1 from the input and multiply by 6, then divide by 4." 
A)  The rule h is "divide the input by 4 and subtract 1, then multiply by 6." 
B)  The rule h is "multiply the input by 6 and subtract 1, then divide by 4." 
C)  The rule h is "multiply the input by 6 and divide by 4, then subtract 1." 
D)  The rule h is "divide 6 by 4 and multiply by the input, then subtract 1." 
E)  The rule h is "subtract 1 from the input and multiply by 6, then divide by 4."

Question 7

All functions are relations.

Accepted Answer

A) True 
 B)False

Question 8

A membership to a local fitness club costs $49 per month. The membership includes 20 hours of use of the club. If you want to use the club more than 20 hours per month, it will cost an additional $1.80 per hour. Let C represent the cost of the membership and x represent the number of hours of use of the club. Find and interpret   .

Accepted Answer

A)  The cost of 33 hours of use of the club per month is $49.00. 
B)  The cost of 33 hours of use of the club per month is $50.80. 
C)  The cost of 33 hours of use of the club per month is $108.40. 
D)  The cost of 33 hours of use of the club per month is $23.40. 
E)  The cost of 33 hours of use of the club per month is $72.40. 
A)  The cost of 33 hours of use of the club per month is $49.00. 
B)  The cost of 33 hours of use of the club per month is $50.80. 
C)  The cost of 33 hours of use of the club per month is $108.40. 
D)  The cost of 33 hours of use of the club per month is $23.40. 
E)  The cost of 33 hours of use of the club per month is $72.40.

Question 9

A population of rabbits was tracked over a 55-day period. The data is shown in the following graph. What was the approximate number of rabbits on day 30?

Accepted Answer

A)  40 
B)  15 
C)  10 
D)  30 
E)  83 
A)  40 
B)  15 
C)  10 
D)  30 
E)  83

Question 10

The price per gallon of gas at various gas stations around town is listed in the table below. What is the average price per gallon? (Rounded to the nearest hundredth)

Accepted Answer

A)  $2.31 
B)  $2.52 
C)  $2.82 
D)  $2.76 
E)  $3.02 
A)  $2.31 
B)  $2.52 
C)  $2.82 
D)  $2.76 
E)  $3.02

Question 11

If the net change of a function f from a to b is negative, then the function must steadily increase from a to b .

Accepted Answer

A) True 
 B)False

Question 12

Given the table below, is the variable y a function of the variable x ?

Accepted Answer

A) True 
 B)False

Question 13

All relations are functions.

Accepted Answer

A) True 
 B)False

Question 14

The graphs of   and   are shown below. Find the value(s) of x for which   .

Accepted Answer

A)  -2.4 and 0.8 
B)  0.8 
C)  -2.4 and -11.7 
D)  -2.4 
E)  -11.7 and 1.3 
A)  -2.4 and 0.8 
B)  0.8 
C)  -2.4 and -11.7 
D)  -2.4 
E)  -11.7 and 1.3

Question 15

Does the equation x = ( y   6)   + 3 define the variable y as a function of the variable x ?

Accepted Answer

A) True 
 B)False

Question 16

Which of the following formulas express the average score for 4 exams?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 17

The table below illustrates a set of data for a function.

Accepted Answer

A) True 
 B)False

Question 18

The distance d (in miles) that a car travels based on the amount of time t (in seconds) is given by the equation d = 3 t     2 t . What is the net change in distance d when the time t changes from 0 to 2 seconds?

Accepted Answer

A)  8 miles 
B)  12 miles 
C)  0 miles 
D)  2 miles 
E)  36 miles 
A)  8 miles 
B)  12 miles 
C)  0 miles 
D)  2 miles 
E)  36 miles

Question 19

For the function   , find the intervals on which   is increasing.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 20

The following table shows the values of airfare for a roundtrip ticket from San Antonio, TX to Portland, OR.
 
Which one of the following scatterplots illustrates this data?

Accepted Answer

A)    
B)    
C)    
D)  None of these options. 
E)    
A)    
B)    
C)    
D)  None of these options. 
E)

For the function , find the local maximum value of f .

The table below describes the average temperatures for Portland, OR during a given year. What is the median temperature for the year?

The following table shows data for the cost of humidifiers based on the number of humidifiers produced. Find a linear model for the cost C of producing x humidifiers.

Use the following graph to create an algebra model for the function.

Given the table below, is the variable y a function of the variable x ?

Which one of the following best describes the function ?

All functions are relations.

A population of rabbits was tracked over a 55-day period. The data is shown in the following graph. What was the approximate number of rabbits on day 30?

The price per gallon of gas at various gas stations around town is listed in the table below. What is the average price per gallon? (Rounded to the nearest hundredth)

If the net change of a function f from a to b is negative, then the function must steadily increase from a to b .

Given the table below, is the variable y a function of the variable x ?

All relations are functions.

The graphs of and are shown below. Find the value(s) of x for which .

Does the equation x = ( y 6) + 3 define the variable y as a function of the variable x ?

Which of the following formulas express the average score for 4 exams?

The table below illustrates a set of data for a function.

The distance d (in miles) that a car travels based on the amount of time t (in seconds) is given by the equation d = 3 t 2 t . What is the net change in distance d when the time t changes from 0 to 2 seconds?

For the function , find the intervals on which is increasing.

The following table shows the values of airfare for a roundtrip ticket from San Antonio, TX to Portland, OR. Which one of the following scatterplots illustrates this data?

Linear Functions and Models

Exponential Functions and Models

Logarithmic Functions and Exponential Modela

Quadratic Functions and Models

Power, Polynomial, and Rational Functions

Systems of Equations and Data in Categories

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Exam 1: Data, Functions, and Models

For the function , find the local maximum value of f .

The table below describes the average temperatures for Portland, OR during a given year. What is the median temperature for the year?

The following table shows data for the cost of humidifiers based on the number of humidifiers produced. Find a linear model for the cost C of producing x humidifiers.

Use the following graph to create an algebra model for the function.

Given the table below, is the variable y a function of the variable x ?

Which one of the following best describes the function ?

All functions are relations.

A population of rabbits was tracked over a 55-day period. The data is shown in the following graph. What was the approximate number of rabbits on day 30?

The price per gallon of gas at various gas stations around town is listed in the table below. What is the average price per gallon? (Rounded to the nearest hundredth)

If the net change of a function f from a to b is negative, then the function must steadily increase from a to b .

Given the table below, is the variable y a function of the variable x ?

All relations are functions.

The graphs of and are shown below. Find the value(s) of x for which .

Does the equation x = ( y 6) + 3 define the variable y as a function of the variable x ?

Which of the following formulas express the average score for 4 exams?

The table below illustrates a set of data for a function.

The distance d (in miles) that a car travels based on the amount of time t (in seconds) is given by the equation d = 3 t 2 t . What is the net change in distance d when the time t changes from 0 to 2 seconds?

For the function , find the intervals on which is increasing.

The following table shows the values of airfare for a roundtrip ticket from San Antonio, TX to Portland, OR. Which one of the following scatterplots illustrates this data?

Linear Functions and Models

Exponential Functions and Models

Logarithmic Functions and Exponential Modela

Quadratic Functions and Models

Power, Polynomial, and Rational Functions

Systems of Equations and Data in Categories

Filters