Question 1

Find ( f F1F1F1S1F1F1F10 g )(x).

Accepted Answer

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

Question 2

Which set of ordered pairs represents a function from P to Q?P = {2, 4, 6, 8} Q = {-5, -3, -1}

Accepted Answer

A) {(2, -5), (4, -3), (4, -1), (6, -3), (8, -5)} 
B) {(6, -5), (6, -3), (6, -1)} 
C) {(6, -3), (4, -5), (2, -3), (4, -1), (6, -5)} 
D) {(4, -3), (6, -1), (8, -3)} 
E) {(2, -1), (6, -3), (2, -5), (6, -1)} 
A) {(2, -5), (4, -3), (4, -1), (6, -3), (8, -5)} 
B) {(6, -5), (6, -3), (6, -1)} 
C) {(6, -3), (4, -5), (2, -3), (4, -1), (6, -5)} 
D) {(4, -3), (6, -1), (8, -3)} 
E) {(2, -1), (6, -3), (2, -5), (6, -1)}

Question 3

Determine whether the variation model below is of the form   or   .

Accepted Answer

A)    
B)    
A)    
B)

Question 4

Does the table describe a function?

Accepted Answer

A) yes 
B) no 
A) yes 
B) no

Question 5

Find the inverse function of

Accepted Answer

A)    ,   
B)    ,   
C)    ,   
D)    ,   
E)    ,   
A)    ,   
B)    ,   
C)    ,   
D)    ,   
E)    ,

Question 6

Use a graphing utility to graph the function and approximate (to two decimal places) any relative minimum or relative maximum values.f (x) = x3 + x2 - 3x + 2

Accepted Answer

A) relative maximum: (-1.39, 5.42)relative minimum: (0.72, 0.73) 
B) relative maximum: (0.72, 0.73)relative minimum: (-1.39, 5.42) 
C) relative maximum: (5.42, -1.39)relative minimum: (0.73, 0.72) 
D) relative maximum: (0.73, 0.72)relative minimum: (5.42, -1.39) 
E) relative maximum: (0.73, 0.73)relative minimum: (5.42, 174.00) 
A) relative maximum: (-1.39, 5.42)relative minimum: (0.72, 0.73) 
B) relative maximum: (0.72, 0.73)relative minimum: (-1.39, 5.42) 
C) relative maximum: (5.42, -1.39)relative minimum: (0.73, 0.72) 
D) relative maximum: (0.73, 0.72)relative minimum: (5.42, -1.39) 
E) relative maximum: (0.73, 0.73)relative minimum: (5.42, 174.00)

Question 7

Find the inverse function of f.

Accepted Answer

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

Question 8

Use a graphing utility to graph the function and visually determine the intervals over which the function is increasing, decreasing, or constant.

Accepted Answer

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

Question 9

The simple interest on an investment is directly proportional to the amount of the investment. By investing $7750 in a certain certificate of deposit, you obtained an interest payment of $201.50 after 1 year. Determine a mathematical model that gives the interest, I , for this CD after 1 year in terms of the amount invested, P.

Accepted Answer

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

Question 10

Find all real values of x such that f (x) = 0.

Accepted Answer

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

Question 11

Find   f (x) = -3x - 7 g (x) = x + 4

Accepted Answer

A)    -3x - 19 
B)    -3x - 3 
C)    -3x2 - 19x - 28 
D)    -4x - 11 
E)    -4x - 3 
A)    -3x - 19 
B)    -3x - 3 
C)    -3x2 - 19x - 28 
D)    -4x - 11 
E)    -4x - 3

Question 12

Find   f (x) = x + 7 g (x) = x2

Accepted Answer

A)    x2 + 7 
B)    x2 - 49 
C)    x2 + 49 
D)    x2 + 7x + 49 
E)    x2 + 14x + 49 
A)    x2 + 7 
B)    x2 - 49 
C)    x2 + 49 
D)    x2 + 7x + 49 
E)    x2 + 14x + 49

Question 13

Which equation does not represent y as a function of x?

Accepted Answer

A) 9y = 6 
B) -2x = y 
C) -4x + y = -8 
D) -9x2 + 8y = 4 
E) -2y2 - 6x = 1 
A) 9y = 6 
B) -2x = y 
C) -4x + y = -8 
D) -9x2 + 8y = 4 
E) -2y2 - 6x = 1

Question 14

The sales tax on an item with a retail price of $932 is $74.56. Create a variational model that gives the retail price, y, in terms of the sales tax, x, and use it to determine the retail price of an item that has a sales tax of $88.54.

Accepted Answer

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

Question 15

Determine whether the variation model below is of the form   or   .

Accepted Answer

A)    
B)    
A)    
B)

Question 16

Determine whether the function is even, odd, or neither.

Accepted Answer

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

Question 17

Does the table describe a function?

Accepted Answer

A) yes 
B) no 
A) yes 
B) no

Question 18

Find   f (x) = x + 4

Accepted Answer

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

Question 19

Determine whether the function has an inverse function. If it does, find the inverse function.

Accepted Answer

A) No inverse function exists. 
B)    
C)    
D)    
E)    
A) No inverse function exists. 
B)    
C)    
D)    
E)

Question 20

Find all real values of x such that f (x) = 0.

Accepted Answer

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

Find ( f  g )(x).

Which set of ordered pairs represents a function from P to Q?P = {2, 4, 6, 8} Q = {-5, -3, -1}

Determine whether the variation model below is of the form or .

Does the table describe a function?

Find the inverse function of

Use a graphing utility to graph the function and approximate (to two decimal places) any relative minimum or relative maximum values.f (x) = x³ + x² - 3x + 2

Find the inverse function of f.

Use a graphing utility to graph the function and visually determine the intervals over which the function is increasing, decreasing, or constant.

Find all real values of x such that f (x) = 0.

Find f (x) = -3x - 7 g (x) = x + 4

Find f (x) = x + 7 g (x) = x²

Which equation does not represent y as a function of x?

The sales tax on an item with a retail price of $932 is $74.56. Create a variational model that gives the retail price, y, in terms of the sales tax, x, and use it to determine the retail price of an item that has a sales tax of $88.54.

Determine whether the variation model below is of the form or .

Determine whether the function is even, odd, or neither.

Does the table describe a function?

Find f (x) = x + 4

Determine whether the function has an inverse function. If it does, find the inverse function.

Find all real values of x such that f (x) = 0.

Prerequisites

Polynomial and Rational Functions

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Exponential and Logarithmic Functions

Exponential and Logarithmic Functions and Calculus

Trigonometric Functions

Analytic Trigonometry

Trigonometric Functions and Calculus

Topics in Analytic Geometry

Additional Topics in Trigonometry

Filters

Exam 2: Functions and Their Graphs

Find ( f  g )(x).

Which set of ordered pairs represents a function from P to Q?P = {2, 4, 6, 8} Q = {-5, -3, -1}

Determine whether the variation model below is of the form or .

Does the table describe a function?

Find the inverse function of

Use a graphing utility to graph the function and approximate (to two decimal places) any relative minimum or relative maximum values.f (x) = x3 + x2 - 3x + 2

Find the inverse function of f.

Use a graphing utility to graph the function and visually determine the intervals over which the function is increasing, decreasing, or constant.

Find all real values of x such that f (x) = 0.

Find f (x) = -3x - 7 g (x) = x + 4

Find f (x) = x + 7 g (x) = x2

Which equation does not represent y as a function of x?

The sales tax on an item with a retail price of $932 is $74.56. Create a variational model that gives the retail price, y, in terms of the sales tax, x, and use it to determine the retail price of an item that has a sales tax of $88.54.

Determine whether the variation model below is of the form or .

Determine whether the function is even, odd, or neither.

Does the table describe a function?

Find f (x) = x + 4

Determine whether the function has an inverse function. If it does, find the inverse function.

Find all real values of x such that f (x) = 0.

Prerequisites

Polynomial and Rational Functions

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Exponential and Logarithmic Functions

Exponential and Logarithmic Functions and Calculus

Trigonometric Functions

Analytic Trigonometry

Trigonometric Functions and Calculus

Topics in Analytic Geometry

Additional Topics in Trigonometry

Filters

Use a graphing utility to graph the function and approximate (to two decimal places) any relative minimum or relative maximum values.f (x) = x³ + x² - 3x + 2

Find f (x) = x + 7 g (x) = x²