Question 1

Determine the intervals on which the function is increasing, decreasing, and constant.
-

Accepted Answer

A)    ; Decreasing on   ; Constant on (   
B)    ; Decreasing on   ; Constant on (-4, 4) 
C)    ; Decreasing on   Constant on (-4, 4) 
D)    Decreasing on   Constant on (   
A)    ; Decreasing on   ; Constant on (   
B)    ; Decreasing on   ; Constant on (-4, 4) 
C)    ; Decreasing on   Constant on (-4, 4) 
D)    Decreasing on   Constant on (

Question 2

The graph of the given function is drawn with a solid line. The graph of a function, g(x), transformed from this one is
drawn with a dashed line. Find a formula for g(x).
-f

Accepted Answer

A)    + 2 
B)    
C)    + 2 
D)    
A)    + 2 
B)    
C)    + 2 
D)

Question 3

Translate the given formula to English.
-  , where C is the circumference of a circle of radius r

Accepted Answer

The circumference of

Question 4

Find the specified domain.
-For f(x) = 2x - 5 and g(x) =   , what is the domain of g

Accepted Answer

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

Question 5

Evaluate.
-If f(x) = 2   + x, find f(x + h) - f(x).

Accepted Answer

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

Question 6

Solve the problem.
-Sue wants to put a rectangular garden on her property using 90 meters of fencing. There is a river that runs through her property so she decides to increase the size of the garden by using the river as one side of the
Rectangle. (Fencing is then needed only on the other three sides.) Let x represent the length of the side of the
Rectangle along the river. Express the garden's area as a function of x.

Accepted Answer

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

Question 7

Solve the problem.
-If m varies directly as p, and m = 48 when p = 8, find m when p is 7.

Accepted Answer

A)  m = 49 
B)  m = 42 
C)  m = 64 
D)  m = 36 
A)  m = 49 
B)  m = 42 
C)  m = 64 
D)  m = 36

Question 8

Graph the pair of functions on the same plane. Use a dashed line for g(x).
-

Accepted Answer

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

Question 9

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

Accepted Answer

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

Question 10

Decide whether or not the functions are inverses of each other.
-

Accepted Answer

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

Question 11

Find the requested composition of functions.
-Given f(x) =   and g(x) = 8x - 10, find   (x).

Accepted Answer

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

Question 12

Solve the inequality by reading the given graph. State the solution set using interval notation.
-  A related function is graphed below.   x-intercepts: (-3, 0), (3, 0), (5, 0)

Accepted Answer

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

Question 13

The graph of the given function is drawn with a solid line. The graph of a function, g(x), transformed from this one is
drawn with a dashed line. Find a formula for g(x).
-

Accepted Answer

A)    
B)    - 5 
C)    
D)    
A)    
B)    - 5 
C)    
D)

Question 14

For the pair of functions, perform the indicated operation.
-f(x) =   Find f/g.

Accepted Answer

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

Question 15

Find the domain and range.
-y =

Accepted Answer

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

Question 16

Graph the following function by transforming the given graph of y = f(x).
-Sketch the graph of y = f(-x).

Accepted Answer

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

Question 17

Solve the problem.
-If f varies jointly as   and h, and f = 36 when q = 3 and h = 2, find q when f = 160 and h = 5.

Accepted Answer

A)  q = 3 
B)  q = 2 
C)  q = 4 
D)  q = 5 
A)  q = 3 
B)  q = 2 
C)  q = 4 
D)  q = 5

Question 18

Graph the function.
-

Accepted Answer

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

Question 19

Use the vertical line test to determine whether y is a function of x.
-

Accepted Answer

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

Question 20

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

Accepted Answer

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

Determine the intervals on which the function is increasing, decreasing, and constant. -

The graph of the given function is drawn with a solid line. The graph of a function, g(x), transformed from this one is drawn with a dashed line. Find a formula for g(x). -f

Translate the given formula to English. - , where C is the circumference of a circle of radius r

Find the specified domain. -For f(x) = 2x - 5 and g(x) = , what is the domain of g

Evaluate. -If f(x) = 2 + x, find f(x + h) - f(x).

Solve the problem. -If m varies directly as p, and m = 48 when p = 8, find m when p is 7.

Graph the pair of functions on the same plane. Use a dashed line for g(x). -

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

Decide whether or not the functions are inverses of each other. -

Find the requested composition of functions. -Given f(x) = and g(x) = 8x - 10, find (x).

Solve the inequality by reading the given graph. State the solution set using interval notation. - A related function is graphed below. x-intercepts: (-3, 0), (3, 0), (5, 0)

The graph of the given function is drawn with a solid line. The graph of a function, g(x), transformed from this one is drawn with a dashed line. Find a formula for g(x). -

For the pair of functions, perform the indicated operation. -f(x) = Find f/g.

Find the domain and range. -y =

Graph the following function by transforming the given graph of y = f(x). -Sketch the graph of y = f(-x).

Solve the problem. -If f varies jointly as and h, and f = 36 when q = 3 and h = 2, find q when f = 160 and h = 5.

Graph the function. -

Use the vertical line test to determine whether y is a function of x. -

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

Equations, Inequalities, and Modeling

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

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Exam 2: Functions and Graphs

Determine the intervals on which the function is increasing, decreasing, and constant. -

The graph of the given function is drawn with a solid line. The graph of a function, g(x), transformed from this one is drawn with a dashed line. Find a formula for g(x). -f

Translate the given formula to English. - , where C is the circumference of a circle of radius r

Find the specified domain. -For f(x) = 2x - 5 and g(x) = , what is the domain of g

Evaluate. -If f(x) = 2 + x, find f(x + h) - f(x).

Solve the problem. -If m varies directly as p, and m = 48 when p = 8, find m when p is 7.

Graph the pair of functions on the same plane. Use a dashed line for g(x). -

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

Decide whether or not the functions are inverses of each other. -

Find the requested composition of functions. -Given f(x) = and g(x) = 8x - 10, find (x).

Solve the inequality by reading the given graph. State the solution set using interval notation. - A related function is graphed below. x-intercepts: (-3, 0), (3, 0), (5, 0)

The graph of the given function is drawn with a solid line. The graph of a function, g(x), transformed from this one is drawn with a dashed line. Find a formula for g(x). -

For the pair of functions, perform the indicated operation. -f(x) = Find f/g.

Find the domain and range. -y =

Graph the following function by transforming the given graph of y = f(x). -Sketch the graph of y = f(-x).

Solve the problem. -If f varies jointly as and h, and f = 36 when q = 3 and h = 2, find q when f = 160 and h = 5.

Graph the function. -

Use the vertical line test to determine whether y is a function of x. -

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

Equations, Inequalities, and Modeling

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

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