Question 1

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

Accepted Answer

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

Question 2

Find the domain of the function.
-

Accepted Answer

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

Question 3

Find the exact value of the logarithmic expression.
-

Accepted Answer

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

Question 4

Change the exponential expression to an equivalent expression involving a logarithm.
-

Accepted Answer

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

Question 5

Decide whether or not the functions are inverses of each other.
-

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 6

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

Accepted Answer

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

Question 7

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x.
-f(x)=   , g(x)=

Accepted Answer

A) No, no 
B) No, yes 
C) Yes, no 
D) Yes, yes 
A) No, no 
B) No, yes 
C) Yes, no 
D) Yes, yes

Question 8

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

Accepted Answer

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

Question 9

Decide whether or not the functions are inverses of each other.
-

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 10

Find the domain of the composite function f ∘ g.
-f(x)=   ; g(x)=

Accepted Answer

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

Question 11

Solve the problem.
-Suppose that f(x)= 3x + 7. If f(x)= 1/34, what is x?

Accepted Answer

A) -3 
B) 3 
C) 7 
D) -7 
A) -3 
B) 3 
C) 7 
D) -7

Question 12

Determine whether the given function is exponential or not. If it is exponential, identify the value of the base a.
-

Accepted Answer

A) Not exponential 
B) Exponential; a = 8 
C) Exponential; a = 3 
D) Exponential; a = 11 
A) Not exponential 
B) Exponential; a = 8 
C) Exponential; a = 3 
D) Exponential; a = 11

Question 13

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

Accepted Answer

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

Question 14

Solve the problem.
-The amount of a radioactive substance present, in grams, at time t in months is given by the formulay = 6,000(2)-0.2t. Find the number of grams present in 2 years. If necessary, round to three decimal places.

Accepted Answer

A) 215.381 
B) 4,547.150 
C) 21.538 
D) 454.715 
A) 215.381 
B) 4,547.150 
C) 21.538 
D) 454.715

Question 15

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-To remodel a bathroom, a contractor charges $30 per hour plus material costs, which amount to $4,350.Therefore, the total cost to remodel the bathroom is given by f(x)= 30x + 4,350 where x is the number ofhours the contractor works. Find a formula for   What does   compute?

Accepted Answer

A)    This computes the number of hours worked if the total cost is x dollars. 
B)    ; This computes the total cost if the contractor works x hours. 
C)    This computes the number of hours worked if the total cost is x dollars. 
D)    This computes the total cost if the contractor works x hours. 
A)    This computes the number of hours worked if the total cost is x dollars. 
B)    ; This computes the total cost if the contractor works x hours. 
C)    This computes the number of hours worked if the total cost is x dollars. 
D)    This computes the total cost if the contractor works x hours.

Question 16

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x.
-f(x)= 4x, g(x)=

Accepted Answer

A) Yes, yes 
B) No, no 
C) Yes, no 
D) No, yes 
A) Yes, yes 
B) No, no 
C) Yes, no 
D) No, yes

Question 17

Find the domain of the function.
-

Accepted Answer

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

Question 18

Graph the function.
-

Accepted Answer

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

Question 19

Write the word or phrase that best completes each statement or answers the question.
-A rumor is spread at an elementary school with 1200 students according to the model   where N is the number of students who have heard the rumor and d is the numberof days that have elapsed since the rumor began. How many students will have heard the rumor after 5days?

Accepted Answer

The answer of Write the word or phrase that best...

Question 20

Find the domain of the function.
-

Accepted Answer

A) (-6, 6) 
B) [-6, 6] 
C)    
D) (-36, 36) 
A) (-6, 6) 
B) [-6, 6] 
C)    
D) (-36, 36)

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

Find the domain of the function. -

Find the exact value of the logarithmic expression. -

Change the exponential expression to an equivalent expression involving a logarithm. -

Decide whether or not the functions are inverses of each other. -

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

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x. -f(x)= , g(x)=

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

Decide whether or not the functions are inverses of each other. -

Find the domain of the composite function f ∘ g. -f(x)= ; g(x)=

Solve the problem. -Suppose that f(x)= 3x + 7. If f(x)= 1/34, what is x?

Determine whether the given function is exponential or not. If it is exponential, identify the value of the base a. -

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

Solve the problem. -The amount of a radioactive substance present, in grams, at time t in months is given by the formulay = 6,000(2)-0.2t. Find the number of grams present in 2 years. If necessary, round to three decimal places.

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x. -f(x)= 4x, g(x)=

Find the domain of the function. -

Graph the function. -

Find the domain of the function. -

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters

Exam 6: Exponential and Logarithmic Functions

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

Find the domain of the function. -

Find the exact value of the logarithmic expression. -

Change the exponential expression to an equivalent expression involving a logarithm. -

Decide whether or not the functions are inverses of each other. -

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

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x. -f(x)= , g(x)=

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

Decide whether or not the functions are inverses of each other. -

Find the domain of the composite function f ∘ g. -f(x)= ; g(x)=

Solve the problem. -Suppose that f(x)= 3x + 7. If f(x)= 1/34, what is x?

Determine whether the given function is exponential or not. If it is exponential, identify the value of the base a. -

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

Solve the problem. -The amount of a radioactive substance present, in grams, at time t in months is given by the formulay = 6,000(2)-0.2t. Find the number of grams present in 2 years. If necessary, round to three decimal places.

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x. -f(x)= 4x, g(x)=

Find the domain of the function. -

Graph the function. -

Find the domain of the function. -

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters