Question 1

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

Accepted Answer

A)  (-8, 8) 
B)    
C)    
D)    
A)  (-8, 8) 
B)    
C)    
D)

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).
-

Accepted Answer

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

Question 3

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

Accepted Answer

A)  f(x) = -x , g(x) = 7x - 5 
B)  f(x) = x, g(x) = 7x + 5 
C)  f(x) = x , g(x) = 7x + 5 
D)  f(x) = - x , g(x) = 7x + 5 
A)  f(x) = -x , g(x) = 7x - 5 
B)  f(x) = x, g(x) = 7x + 5 
C)  f(x) = x , g(x) = 7x + 5 
D)  f(x) = - x , g(x) = 7x + 5

Question 4

Match the function with the graph.
-

Accepted Answer

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

Question 5

Solve the problem.
-Assume it costs 25 cents to mail a letter weighing one ounce or less, and then 20 cents for each additional ounce or fraction of an ounce. Let L(x) be the cost of mailing a letter weighing x ounces. Graph y = L(x).

Accepted Answer

A)    
B)    
A)    
B)

Question 6

Determine whether the relation is a function.
-

Accepted Answer

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

Question 7

Solve the problem.
-Let C(x) = 600 + 20x be the cost to manufacture x items. Find the average cost per item, to the nearest dollar, to produce 50 items.

Accepted Answer

A)  $1625 
B)  $32 
C)  $248 
D)  $1550 
A)  $1625 
B)  $32 
C)  $248 
D)  $1550

Question 8

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

Accepted Answer

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

Question 9

Graph the function.
-

Accepted Answer

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

Question 10

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

Question 11

Provide an appropriate response.
-Which of the following is a horizontal translation and a reflection of the function   about the x-axis? Use your graphics calculator to verify your result.

Accepted Answer

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

Question 12

Solve the problem.
-Elissa wants to set up a rectangular dog run in her backyard. She has 30 feet of fencing to work with and wants to use it all. If the dog run is to be x feet long, express the area of the dog run as a function of x.

Accepted Answer

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

Question 13

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

Accepted Answer

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

Question 14

Find the requested function value.
-Find   (3) when f(x) = -8x + 1 and g(x) =   + 8x - 7.

Accepted Answer

A)  297 
B)  9 
C)  -3365 
D)  -53 
A)  297 
B)  9 
C)  -3365 
D)  -53

Question 15

Find a formula for the inverse of the function described below.
-32° Fahrenheit = 0° Celsius. A function that converts temperatures in Celsius to those in Fahrenheit is f(x) =   x + 32.

Accepted Answer

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

Question 16

Find the constant of variation and construct the function that is expressed in each statement.
-y varies directly as the square root of x and inversely as w: y = -30.16, when x = 33.64 and w = -0.5.

Accepted Answer

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

Question 17

Evaluate.
-Find g(a - 1) when g(x) = 4x + 2.

Accepted Answer

A)  4a + 2 
B)  4a - 2 
C)    
D)  4a + 1 
A)  4a + 2 
B)  4a - 2 
C)    
D)  4a + 1

Question 18

Solve the problem.
-Suppose a car rental company charges $134 for the first day and $84 for each additional or partial day. Let S(x) represent the cost of renting a car for x days. Find the value of S(4.5).

Accepted Answer

A)  $512 
B)  $428 
C)  $378 
D)  $470 
A)  $512 
B)  $428 
C)  $378 
D)  $470

Question 19

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

Accepted Answer

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

Question 20

Determine whether the equation defines y as a function of x.
-y =   + 3

Accepted Answer

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

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

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). -

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

Match the function with the graph. -

Solve the problem. -Assume it costs 25 cents to mail a letter weighing one ounce or less, and then 20 cents for each additional ounce or fraction of an ounce. Let L(x) be the cost of mailing a letter weighing x ounces. Graph y = L(x).

Determine whether the relation is a function. -

Solve the problem. -Let C(x) = 600 + 20x be the cost to manufacture x items. Find the average cost per item, to the nearest dollar, to produce 50 items.

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

Graph the function. -

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). -

Provide an appropriate response. -Which of the following is a horizontal translation and a reflection of the function about the x-axis? Use your graphics calculator to verify your result.

Solve the problem. -Elissa wants to set up a rectangular dog run in her backyard. She has 30 feet of fencing to work with and wants to use it all. If the dog run is to be x feet long, express the area of the dog run as a function of x.

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

Find the requested function value. -Find (3) when f(x) = -8x + 1 and g(x) = + 8x - 7.

Find a formula for the inverse of the function described below. -32° Fahrenheit = 0° Celsius. A function that converts temperatures in Celsius to those in Fahrenheit is f(x) = x + 32.

Find the constant of variation and construct the function that is expressed in each statement. -y varies directly as the square root of x and inversely as w: y = -30.16, when x = 33.64 and w = -0.5.

Evaluate. -Find g(a - 1) when g(x) = 4x + 2.

Solve the problem. -Suppose a car rental company charges $134 for the first day and $84 for each additional or partial day. Let S(x) represent the cost of renting a car for x days. Find the value of S(4.5).

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

Determine whether the equation defines y as a function of x. -y = + 3

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

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

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). -

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

Match the function with the graph. -

Solve the problem. -Assume it costs 25 cents to mail a letter weighing one ounce or less, and then 20 cents for each additional ounce or fraction of an ounce. Let L(x) be the cost of mailing a letter weighing x ounces. Graph y = L(x).

Determine whether the relation is a function. -

Solve the problem. -Let C(x) = 600 + 20x be the cost to manufacture x items. Find the average cost per item, to the nearest dollar, to produce 50 items.

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

Graph the function. -

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). -

Provide an appropriate response. -Which of the following is a horizontal translation and a reflection of the function about the x-axis? Use your graphics calculator to verify your result.

Solve the problem. -Elissa wants to set up a rectangular dog run in her backyard. She has 30 feet of fencing to work with and wants to use it all. If the dog run is to be x feet long, express the area of the dog run as a function of x.

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

Find the requested function value. -Find (3) when f(x) = -8x + 1 and g(x) = + 8x - 7.

Find a formula for the inverse of the function described below. -32° Fahrenheit = 0° Celsius. A function that converts temperatures in Celsius to those in Fahrenheit is f(x) = x + 32.

Find the constant of variation and construct the function that is expressed in each statement. -y varies directly as the square root of x and inversely as w: y = -30.16, when x = 33.64 and w = -0.5.

Evaluate. -Find g(a - 1) when g(x) = 4x + 2.

Solve the problem. -Suppose a car rental company charges $134 for the first day and $84 for each additional or partial day. Let S(x) represent the cost of renting a car for x days. Find the value of S(4.5).

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

Determine whether the equation defines y as a function of x. -y = + 3

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

Filters