Question 1

Indicate whether the function is one-to-one.
-{(5, -3), (3, -5), (-4, 9), (4, -9)}

Accepted Answer

A) Yes 
B) No

Question 2

Use the horizontal line test to determine whether the function is one -to-one.
-

Accepted Answer

A) Yes 
B) No

Question 3

The function f is one-to-one. Find its inverse.
-f

Accepted Answer

A)   
B)   
C)   
D)

Question 4

The function f is one-to-one. Find its inverse.
-

Accepted Answer

A)   
B) f  
C)   
D)

Question 5

For the given functions f and g, find the requested composite function.
- g(x)= 5x + 2; Find (g ∘ f)(x).

Accepted Answer

A) x 
B) 5x + 8 
C) x + 4 
D)

Question 6

Change the logarithmic expression to an equivalent expression involving an exponent.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 7

For the given functions f and g, find the requested composite function value.
- g(x)= 3x; Find (f ∘ g)(3).

Accepted Answer

A)   
B)   
C)   
D)

Question 8

Solve the problem.
-The long jump record, in feet, at a particular school can be modeled by  where x isthe number of years since records began to be kept at the school. What is the record for the long jump8 years after record started being kept? Round your answer to the nearest tenth.

Accepted Answer

A) 25.0 ft 
B) 24.7 ft 
C) 24.4 ft 
D) 22.1 ft

Question 9

The graph of an exponential function is given. Match the graph to one of the following functions.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 10

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 11

Solve the equation.
-

Accepted Answer

A)   
B)   
C)   
D) {0}

Question 12

Use a calculator to evaluate the expression. Round your answer to three decimal places
-

Accepted Answer

A) -0.398 
B) -0.916 
C) -2.513 
D) 0.398

Question 13

Write the word or phrase that best completes each statement or answers the question.
-If  what does  equal?

Accepted Answer

A) 9 
B) -9 
C) 3 
D)

Question 14

Solve the equation.
-

Accepted Answer

A) {3} 
B) {4} 
C) {2} 
D) {-3}

Exam 6: Exponential and Logarithmic Functions

Indicate whether the function is one-to-one. -{(5, -3) , (3, -5) , (-4, 9) , (4, -9) }

Use the horizontal line test to determine whether the function is one -to-one. -

The function f is one-to-one. Find its inverse. -f

The function f is one-to-one. Find its inverse. -

For the given functions f and g, find the requested composite function. - g(x) = 5x + 2; Find (g ∘ f) (x) .

Change the logarithmic expression to an equivalent expression involving an exponent. -

For the given functions f and g, find the requested composite function value. - g(x) = 3x; Find (f ∘ g) (3) .

Solve the problem. -The long jump record, in feet, at a particular school can be modeled by where x isthe number of years since records began to be kept at the school. What is the record for the long jump8 years after record started being kept? Round your answer to the nearest tenth.

The graph of an exponential function is given. Match the graph to one of the following functions. -

Graph the function. -

Solve the equation. -

Use a calculator to evaluate the expression. Round your answer to three decimal places -

Write the word or phrase that best completes each statement or answers the question. -If what does equal?

Solve the equation. -