Question 1

Let   and   . Find   .

Accepted Answer

A)    
B)  4 
C)    
D)  12 
E)  -8 
A)    
B)  4 
C)    
D)  12 
E)  -8

Question 2

The function   exhibits the following end behavior:   and   .

Accepted Answer

A) True 
 B)False

Question 3

Which one of the following is the graph of   .

Accepted Answer

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

Question 4

Suppose that   is inversely proportional to the cube root of   . If   when   , find the proportionality constant. Round to the nearest hundredth.

Accepted Answer

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

Question 5

The graphs of   and   are given below. Which one of the following is the graph of   ?

Accepted Answer

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

Question 6

Use the graph below to find   .

Accepted Answer

A)  -2 
B)  73 
C)  -0.6 
D)  -3212 
E)  -44 
A)  -2 
B)  73 
C)  -0.6 
D)  -3212 
E)  -44

Question 7

If   and   , find   .

Accepted Answer

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

Question 8

Use the graph below to find   .

Accepted Answer

A)  232 
B)  316.0 
C)  84 
D)  2 
E)  2.8 
A)  232 
B)  316.0 
C)  84 
D)  2 
E)  2.8

Question 9

Let   and   . Find   .

Accepted Answer

A)    
B)  -4 
C)  -14 
D)  30 
E)  -176 
A)    
B)  -4 
C)  -14 
D)  30 
E)  -176

Question 10

Find the equation of the vertical asymptote for   .

Accepted Answer

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

Question 11

Let   and   . Find   .

Accepted Answer

A)  -4 
B)  -14 
C)    
D)  -1 
E)  45 
A)  -4 
B)  -14 
C)    
D)  -1 
E)  45

Question 12

If   and   , find the domain of   .

Accepted Answer

A)    
B)  0 
C)    
D)    
E)    
A)    
B)  0 
C)    
D)    
E)

Question 13

The mouse population in a small desert area is modeled by the function   where   is measured in days. When will the mouse population disappear?

Accepted Answer

A)  After 3 days 
B)  After 58 days 
C)  After 411 days 
D)  After 1320 days 
E)  After 11 days 
A)  After 3 days 
B)  After 58 days 
C)  After 411 days 
D)  After 1320 days 
E)  After 11 days

Question 14

Which one of the following is the graph of   ?

Accepted Answer

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

Question 15

If   and   , find the domain of   .

Accepted Answer

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

Question 16

Find the x -intercept(s) of   .

Accepted Answer

A)  (   , 0) 
B)  (   , 0) 
C)    
D)  (   , 0) 
E)  (   , 0) 
A)  (   , 0) 
B)  (   , 0) 
C)    
D)  (   , 0) 
E)  (   , 0)

Question 17

Which one of the following is the equation of the vertical asymptote for   ?

Accepted Answer

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

Question 18

Use the table below to find .

Accepted Answer

A)  -117 
B)  54 
C)  162 
D)  -3 
E)  15 
A)  -117 
B)  54 
C)  162 
D)  -3 
E)  15

Question 19

If   and   , find   .

Accepted Answer

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

Question 20

Suppose a rocket is fired upward from the surface of the earth with an initial velocity   (measured in m/s). Then the maximum height   (in meters) reached by the rocket is given by the function   where the radius of the earth   is   meters and the acceleration due to gravity   is 9.8   . If the initial velocity of the rocket is 9100 m/s, what is the maximum height reached by the rocket?

Accepted Answer

A)    meters 
B)  5.26e+14 meters 
C)  -7.86e+07 meters 
D)  1.26e+07 meters 
E)  6.35 meters 
A)    meters 
B)  5.26e+14 meters 
C)  -7.86e+07 meters 
D)  1.26e+07 meters 
E)  6.35 meters

Let and . Find .

The function exhibits the following end behavior: and .

Which one of the following is the graph of .

Suppose that is inversely proportional to the cube root of . If when , find the proportionality constant. Round to the nearest hundredth.

The graphs of and are given below. Which one of the following is the graph of ?

Use the graph below to find .

If and , find .

Use the graph below to find .

Let and . Find .

Find the equation of the vertical asymptote for .

Let and . Find .

If and , find the domain of .

The mouse population in a small desert area is modeled by the function where is measured in days. When will the mouse population disappear?

Which one of the following is the graph of ?

If and , find the domain of .

Find the x -intercept(s) of .

Which one of the following is the equation of the vertical asymptote for ?

Use the table below to find .

If and , find .

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Exam 6: Power, Polynomial, and Rational Functions

Let and . Find .

The function exhibits the following end behavior: and .

Which one of the following is the graph of .

Suppose that is inversely proportional to the cube root of . If when , find the proportionality constant. Round to the nearest hundredth.

The graphs of and are given below. Which one of the following is the graph of ?

Use the graph below to find .

If and , find .

Use the graph below to find .

Let and . Find .

Find the equation of the vertical asymptote for .

Let and . Find .

If and , find the domain of .

The mouse population in a small desert area is modeled by the function where is measured in days. When will the mouse population disappear?

Which one of the following is the graph of ?

If and , find the domain of .

Find the x -intercept(s) of .

Which one of the following is the equation of the vertical asymptote for ?

Use the table below to find .

If and , find .

Data, Functions, and Models

Linear Functions and Models

Exponential Functions and Models

Logarithmic Functions and Exponential Modela

Quadratic Functions and Models

Systems of Equations and Data in Categories

Filters