Question 1

Find   .

Accepted Answer

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

Question 2

Show algebraically that f and g are inverse functions.

Accepted Answer

The answer of Show algebraically that f and g are...

Question 3

Which graph represents the function?

Accepted Answer

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

Question 4

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

Accepted Answer

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

Question 5

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

Accepted Answer

A)  neither 
B)  even 
C)  odd 
A)  neither 
B)  even 
C)  odd

Question 6

Does the table describe a function?

Accepted Answer

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

Question 7

Evaluate the function at the specified value of the independent variable and simplify.

Accepted Answer

A)  3.8 
B)    
C)    
D)    
E)  -6.2 
A)  3.8 
B)    
C)    
D)    
E)  -6.2

Question 8

Use a graphing utility to graph the function and find the zeroes of the function.

Accepted Answer

A)    
B)    
C)    
D)  no real zeroes 
E)    
A)    
B)    
C)    
D)  no real zeroes 
E)

Question 9

Evaluate the indicated function for   and   . ( fg )(1)

Accepted Answer

A)  12 
B)  -32 
C)  -20 
D)  -16 
E)  -30 
A)  12 
B)  -32 
C)  -20 
D)  -16 
E)  -30

Question 10

Find the inverse function of f.

Accepted Answer

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

Question 11

Describe the sequence of transformations from the related common function   to g.

Accepted Answer

A)  vertical shift 4 units up; then vertical shrink by a factor of 4 
B)  horizontal shift 4 units left; then vertical shrink by a factor of 4 
C)  horizontal shift 4 units right; then vertical stretch by a factor of 4 
D)  vertical shift 4 units down; then vertical shrink by a factor of 4 
E)  horizontal shift 4 units left; then vertical stretch by a factor of 4 
A)  vertical shift 4 units up; then vertical shrink by a factor of 4 
B)  horizontal shift 4 units left; then vertical shrink by a factor of 4 
C)  horizontal shift 4 units right; then vertical stretch by a factor of 4 
D)  vertical shift 4 units down; then vertical shrink by a factor of 4 
E)  horizontal shift 4 units left; then vertical stretch by a factor of 4

Question 12

Use the Vertical Line Test to determine in which of the graphs y is not a function of x.

Accepted Answer

A)  All of the choices (A, B, C, and 
D)  represent functions. 
B)    
C)    
D)    
E)    
A)  All of the choices (A, B, C, and 
D)  represent functions. 
B)    
C)    
D)    
E)

Question 13

Write an equation for the function that is described by the following characteristics: the shape of   , but moved eight units down, two units to the left, and then reflected in the x-axis

Accepted Answer

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

Question 14

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 15

Write the slope-intercept form of the equation of the line through the given point perpendicular to the given line. point: (-7, -8) line: -9x - 45y = 9

Accepted Answer

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

Question 16

Write the linear function f such that it has the indicated values.

Accepted Answer

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

Question 17

Does the table describe a function?

Accepted Answer

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

Question 18

Which function does the graph represent?

Accepted Answer

A)  g(x) =       
B)    
C)  g(x) =         
D)  g(x) =       
E)  g(x) =       
A)  g(x) =       
B)    
C)  g(x) =         
D)  g(x) =       
E)  g(x) =

Question 19

Graph the function and determine the interval(s) for which f (x) ³ 0.

Accepted Answer

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

Question 20

Which set of ordered pairs represents a function from P to Q?

Accepted Answer

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

Find .

Show algebraically that f and g are inverse functions.

Which graph represents the function?

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

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

Does the table describe a function?

Evaluate the function at the specified value of the independent variable and simplify.

Use a graphing utility to graph the function and find the zeroes of the function.

Evaluate the indicated function for and . ( fg )(1)

Find the inverse function of f.

Describe the sequence of transformations from the related common function to g.

Use the Vertical Line Test to determine in which of the graphs y is not a function of x.

Write an equation for the function that is described by the following characteristics: the shape of , but moved eight units down, two units to the left, and then reflected in the x-axis

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

Write the slope-intercept form of the equation of the line through the given point perpendicular to the given line. point: (-7, -8) line: -9x - 45y = 9

Write the linear function f such that it has the indicated values.

Does the table describe a function?

Which function does the graph represent?

Graph the function and determine the interval(s) for which f (x) ³ 0.

Which set of ordered pairs represents a function from P to Q?

Prerequisites

Equations, Inequalities, and Mathematical Modeling

Polynomial Functions

Rational Functions and Conics

Exponential and Logarithmic Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

Filters

Exam 3: Functions and Their Graphs

Find .

Show algebraically that f and g are inverse functions.

Which graph represents the function?

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

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

Does the table describe a function?

Evaluate the function at the specified value of the independent variable and simplify.

Use a graphing utility to graph the function and find the zeroes of the function.

Evaluate the indicated function for and . ( fg )(1)

Find the inverse function of f.

Describe the sequence of transformations from the related common function to g.

Use the Vertical Line Test to determine in which of the graphs y is not a function of x.

Write an equation for the function that is described by the following characteristics: the shape of , but moved eight units down, two units to the left, and then reflected in the x-axis

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

Write the slope-intercept form of the equation of the line through the given point perpendicular to the given line. point: (-7, -8) line: -9x - 45y = 9

Write the linear function f such that it has the indicated values.

Does the table describe a function?

Which function does the graph represent?

Graph the function and determine the interval(s) for which f (x) ³ 0.

Which set of ordered pairs represents a function from P to Q?

Prerequisites

Equations, Inequalities, and Mathematical Modeling

Polynomial Functions

Rational Functions and Conics

Exponential and Logarithmic Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

Filters