Question 1

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

Accepted Answer

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

Question 2

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)    A

Question 3

Find the domain of the composite function f ∘ g.
-f(x)= 3x + 3; g(x)=

Accepted Answer

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

Question 4

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-The function   is not one-to-one.(a)Find a suitable restriction on the domain of f so that the new function that results is one-to-one.(b)Find the inverse of f.

Accepted Answer

(a) @#IMG-DLM& is one correct answer; an

Question 5

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

Accepted Answer

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

Question 6

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

Accepted Answer

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

Question 7

Solve the equation.
-

Accepted Answer

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

Question 8

Find a formula for the inverse of the function described below.
-A size 6 dress in Country C is size 32 in Country D. A function that converts dress sizes in Country C tothose in Country D is f(x)= x + 26.

Accepted Answer

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

Question 9

Solve the equation.
-

Accepted Answer

A) {3} 
B)    
C) {1} 
D) {-3} 
A) {3} 
B)    
C) {1} 
D) {-3}

Question 10

Indicate whether the function is one-to-one.
-{(-5, -9), (-4, -9), (-3, 7), (-2, 4)}

Accepted Answer

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

Question 11

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

Accepted Answer

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

Question 12

Use the graph of the given one-to-one function to sketch the graph of the inverse function. For convenience, the
graph of y = x is also given.
-

Accepted Answer

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

Question 13

Solve the problem.
-Find a so that the graph of   contains the point (8, 10).

Accepted Answer

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

Question 14

Find the exact value of the logarithmic expression.
-

Accepted Answer

A) 6 
B) e 
C)    
D) 1 
A) 6 
B) e 
C)    
D) 1

Question 15

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

Accepted Answer

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

Question 16

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

Accepted Answer

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

Question 17

Solve the equation.
-

Accepted Answer

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

Question 18

The graph of a one-to-one function f is given. Draw the graph of the inverse function f   as a dashed line or curve.
-

Accepted Answer

A)    Function is its own inverse 
B)    
A)    Function is its own inverse 
B)

Question 19

Find a formula for the inverse of the function described below.
-  Fahrenheit =   Celsius. A function that converts temperatures in Celsius to those in Fahrenheit is

Accepted Answer

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

Question 20

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

Accepted Answer

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

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

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

Find the domain of the composite function f ∘ g. -f(x)= 3x + 3; g(x)=

Write the word or phrase that best completes each statement or answers the question. Solve the problem. -The function is not one-to-one.(a)Find a suitable restriction on the domain of f so that the new function that results is one-to-one.(b)Find the inverse of f.

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

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

Solve the equation. -

Find a formula for the inverse of the function described below. -A size 6 dress in Country C is size 32 in Country D. A function that converts dress sizes in Country C tothose in Country D is f(x)= x + 26.

Solve the equation. -

Indicate whether the function is one-to-one. -{(-5, -9), (-4, -9), (-3, 7), (-2, 4)}

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

Use the graph of the given one-to-one function to sketch the graph of the inverse function. For convenience, the graph of y = x is also given. -

Solve the problem. -Find a so that the graph of contains the point (8, 10).

Find the exact value of the logarithmic expression. -

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

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

Solve the equation. -

The graph of a one-to-one function f is given. Draw the graph of the inverse function f as a dashed line or curve. -

Find a formula for the inverse of the function described below. - Fahrenheit = Celsius. A function that converts temperatures in Celsius to those in Fahrenheit is

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

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

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Exam 6: Exponential and Logarithmic Functions

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

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

Find the domain of the composite function f ∘ g. -f(x)= 3x + 3; g(x)=

Write the word or phrase that best completes each statement or answers the question. Solve the problem. -The function is not one-to-one.(a)Find a suitable restriction on the domain of f so that the new function that results is one-to-one.(b)Find the inverse of f.

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

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

Solve the equation. -

Find a formula for the inverse of the function described below. -A size 6 dress in Country C is size 32 in Country D. A function that converts dress sizes in Country C tothose in Country D is f(x)= x + 26.

Solve the equation. -

Indicate whether the function is one-to-one. -{(-5, -9), (-4, -9), (-3, 7), (-2, 4)}

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

Use the graph of the given one-to-one function to sketch the graph of the inverse function. For convenience, the graph of y = x is also given. -

Solve the problem. -Find a so that the graph of contains the point (8, 10).

Find the exact value of the logarithmic expression. -

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

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

Solve the equation. -

The graph of a one-to-one function f is given. Draw the graph of the inverse function f as a dashed line or curve. -

Find a formula for the inverse of the function described below. - Fahrenheit = Celsius. A function that converts temperatures in Celsius to those in Fahrenheit is

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

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