Question 1

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 2

Solve the problem.
-Suppose that f(x)=   What is f(3)? What point is on the graph of f?

Accepted Answer

A) 8; (3, 8) 
B) 8; (3, 2) 
C) 9; (3, 9) 
D) 9; (2, 9) 
A) 8; (3, 8) 
B) 8; (3, 2) 
C) 9; (3, 9) 
D) 9; (2, 9)

Question 3

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 4

Solve the equation.
-

Accepted Answer

A)    
B)    
C) - 1 
D) - 2 
A)    
B)    
C) - 1 
D) - 2

Question 5

Solve the problem.
-Find the amount in a savings account at the end of 8 years if the amount originally deposited is $1,000 andthe interest rate is 7% compounded quarterly.   A = final amountP = $1,000 (the initial deposit)r = 7% = 0.07 (the annual rate of interest)n = 4 (the number of times interest is compounded each year)t = 8 (the duration of the deposit in years)

Accepted Answer

A) $1,742.21 
B) $1,916.43 
C) $32,560.00 
D) $1,148.88 
A) $1,742.21 
B) $1,916.43 
C) $32,560.00 
D) $1,148.88

Question 6

Find a formula for the inverse of the function described below.
-A size 52 dress in Country C is size 14 in Country D. A function that converts dress sizes in Country C tothose in Country D is f

Accepted Answer

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

Question 7

Find the domain of the function.
-

Accepted Answer

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

Question 8

Solve the problem.
-An airline charter service charges a fare per person of $200 plus $20 for each unsold seat. The airplaneholds 200 passengers. Let x represent the number of unsold seats and write an expression for the totalrevenue R for a charter flight.

Accepted Answer

A) R(x)= (200 - x)(200 + 20x)or 40,000 + 3,800x -   
B) R(x)= 200(200 + 20x)or 40,000 + 4,000x 
C) R(x)= (200 - x)(200 + 20x)or 40,000 + 4,000x -   
D) R(x)= x(200 + 20x)or 200x +   
A) R(x)= (200 - x)(200 + 20x)or 40,000 + 3,800x -   
B) R(x)= 200(200 + 20x)or 40,000 + 4,000x 
C) R(x)= (200 - x)(200 + 20x)or 40,000 + 4,000x -   
D) R(x)= x(200 + 20x)or 200x +

Question 9

Graph the function.
-

Accepted Answer

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

Question 10

Solve the equation.
-

Accepted Answer

A) {1} 
B) {9} 
C) {3} 
D) {-1} 
A) {1} 
B) {9} 
C) {3} 
D) {-1}

Question 11

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

Accepted Answer

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

Question 12

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

Accepted Answer

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

Question 13

Solve the problem.
-The function   models the average number of free-throws a basketball player can makeconsecutively during practice as a function of time, where x is the number of consecutive days thebasketball player has practiced for two hours. After 402 days of practice, what is the average number ofconsecutive free throws the basketball player makes?

Accepted Answer

A) 10 consecutive free throws 
B) 11 consecutive free throws 
C) 13 consecutive free throws 
D) 14 consecutive free throws 
A) 10 consecutive free throws 
B) 11 consecutive free throws 
C) 13 consecutive free throws 
D) 14 consecutive free throws

Question 14

Find the inverse function of f. State the domain and range of f.
-

Accepted Answer

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

Question 15

Solve the problem.
-The number of books in a small library increases according to the function   where t ismeasured in years. How many books will the library have after 7 years?

Accepted Answer

A) 13,481 
B) 4,331 
C) 9,973 
D) 21,268 
A) 13,481 
B) 4,331 
C) 9,973 
D) 21,268

Question 16

Solve the equation.
-

Accepted Answer

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

Question 17

Approximate the value using a calculator. Express answer rounded to three decimal places.
-

Accepted Answer

A) 34.124 
B) 30.832 
C) 9.596 
D) 15.154 
A) 34.124 
B) 30.832 
C) 9.596 
D) 15.154

Question 18

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 19

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

Accepted Answer

A) Yes; Exclude the interval (-∞, 5) 
B) Yes; No values need to be excluded. 
C) Yes; Exclude the interval (-∞, 6) 
D) No 
A) Yes; Exclude the interval (-∞, 5) 
B) Yes; No values need to be excluded. 
C) Yes; Exclude the interval (-∞, 6) 
D) No

Question 20

Solve the problem.
-Hector borrows $2,500 at a rate of 9% compounded monthly. Find how much Hector owes at the end of 4years.   A = final amountP = $2,500 (the amount borrowed)r = 9% = 0.09 (the annual rate of interest)n = 12 (the number of times interest is compounded each year)t = 4 (the duration of the loan in years)

Accepted Answer

A) $3,578.51 
B) $3,936.36 
C) $120,900.00 
D) $2,575.85 
A) $3,578.51 
B) $3,936.36 
C) $120,900.00 
D) $2,575.85

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

Solve the problem. -Suppose that f(x)= What is f(3)? What point is on the graph of f?

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

Solve the equation. -

Find a formula for the inverse of the function described below. -A size 52 dress in Country C is size 14 in Country D. A function that converts dress sizes in Country C tothose in Country D is f

Find the domain of the function. -

Solve the problem. -An airline charter service charges a fare per person of $200 plus $20 for each unsold seat. The airplaneholds 200 passengers. Let x represent the number of unsold seats and write an expression for the totalrevenue R for a charter flight.

Graph the function. -

Solve the equation. -

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

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

Find the inverse function of f. State the domain and range of f. -

Solve the problem. -The number of books in a small library increases according to the function where t ismeasured in years. How many books will the library have after 7 years?

Solve the equation. -

Approximate the value using a calculator. Express answer rounded to three decimal places. -

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

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

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

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

Solve the problem. -Suppose that f(x)= What is f(3)? What point is on the graph of f?

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

Solve the equation. -

Find a formula for the inverse of the function described below. -A size 52 dress in Country C is size 14 in Country D. A function that converts dress sizes in Country C tothose in Country D is f

Find the domain of the function. -

Solve the problem. -An airline charter service charges a fare per person of $200 plus $20 for each unsold seat. The airplaneholds 200 passengers. Let x represent the number of unsold seats and write an expression for the totalrevenue R for a charter flight.

Graph the function. -

Solve the equation. -

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

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

Find the inverse function of f. State the domain and range of f. -

Solve the problem. -The number of books in a small library increases according to the function where t ismeasured in years. How many books will the library have after 7 years?

Solve the equation. -

Approximate the value using a calculator. Express answer rounded to three decimal places. -

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

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

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