Question 1

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

Accepted Answer

A) 25 
B) 13 
C)    
D)    
A) 25 
B) 13 
C)    
D)

Question 2

Graph the function.
-

Accepted Answer

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

Question 3

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

Accepted Answer

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

Question 4

Solve the equation.
-

Accepted Answer

A) {3, -3} 
B)    
C) {3} 
D) {6} 
A) {3, -3} 
B)    
C) {3} 
D) {6}

Question 5

Decide whether or not the functions are inverses of each other.
-f(x)= 4x + 16, g(x)=

Accepted Answer

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

Question 6

Graph the function.
-

Accepted Answer

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

Question 7

Solve the equation.
-

Accepted Answer

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

Question 8

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

Accepted Answer

A) -2.244 
B) 1.065 
C) -5.166 
D) 0.423 
A) -2.244 
B) 1.065 
C) -5.166 
D) 0.423

Question 9

Find functions f and g so that f ∘ g = H.
-H(x)=

Accepted Answer

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

Question 10

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

Accepted Answer

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

Question 11

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 12

Indicate whether the function is one-to-one.
-{(-10, 4), (-15, 4), (-16, 1)}

Accepted Answer

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

Question 13

Solve the equation.
-

Accepted Answer

A) {5, 6} 
B) {-5, -6} 
C) {5} 
D) {6} 
A) {5, 6} 
B) {-5, -6} 
C) {5} 
D) {6}

Question 14

Solve the equation.
-1

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x.
-f(x)=   , g(x)= 4x - 7

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

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

Accepted Answer

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

Question 18

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

Accepted Answer

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

Question 19

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

Accepted Answer

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

Question 20

Find the domain of the function.
-f

Accepted Answer

A)    
B) (-5, 4) 
C)    
D)    
A)    
B) (-5, 4) 
C)    
D)

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

Graph the function. -

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

Solve the equation. -

Decide whether or not the functions are inverses of each other. -f(x)= 4x + 16, g(x)=

Graph the function. -

Solve the equation. -

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

Find functions f and g so that f ∘ g = H. -H(x)=

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

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

Indicate whether the function is one-to-one. -{(-10, 4), (-15, 4), (-16, 1)}

Solve the equation. -

Solve the equation. -1

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

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x. -f(x)= , g(x)= 4x - 7

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

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. -

Find the domain of the function. -f

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 value. - g(x)= Find (g ∘ f)(-2).

Graph the function. -

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

Solve the equation. -

Decide whether or not the functions are inverses of each other. -f(x)= 4x + 16, g(x)=

Graph the function. -

Solve the equation. -

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

Find functions f and g so that f ∘ g = H. -H(x)=

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

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

Indicate whether the function is one-to-one. -{(-10, 4), (-15, 4), (-16, 1)}

Solve the equation. -

Solve the equation. -1

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

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x. -f(x)= , g(x)= 4x - 7

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

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. -

Find the domain of the function. -f

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