Question 1

Find the difference quotient,   , for the function and simplify it.
-g(x) =   + 10x - 5

Accepted Answer

A)  10x + 6 + 20h 
B)  20x + 10 + 10h 
C)    
D)  20x + 10 
A)  10x + 6 + 20h 
B)  20x + 10 + 10h 
C)    
D)  20x + 10

Question 2

Find the difference quotient,   , for the function and simplify it.
-p(x) = 2 -

Accepted Answer

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

Question 3

Find the inverse of the function.
-f(x) =

Accepted Answer

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

Question 4

Write a formula to express the relationship. Use k as the constant of variation.
-John kept track of the time it took him to drive to college from his home and the speed at which he drove. He found that the time t varies inversely as the speed r.

Accepted Answer

A)    
B)  r = kt 
C)  t = kr 
D)    
A)    
B)  r = kt 
C)  t = kr 
D)

Question 5

Find the constant of variation and construct the function that is expressed in each statement.
-y varies inversely as x: y = 7, when x = 16

Accepted Answer

A)    
B)    
C)  y = 112x 
D)    
A)    
B)    
C)  y = 112x 
D)

Question 6

Graph the equation by plotting ordered pairs of numbers.
-

Accepted Answer

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

Question 7

Determine whether or not the function is one-to-one.
-f(x) =   - 3

Accepted Answer

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

Question 8

Find the inverse of the function.
-f(x) =   - 4

Accepted Answer

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

Question 9

Find the constant of variation and construct the function that is expressed in each statement.
-y varies directly as x: y = 39, when x = 12

Accepted Answer

A)  y = 39x 
B)  y = 3.25y 
C)  y = 0.31x 
D)  y = 3.25x 
A)  y = 39x 
B)  y = 3.25y 
C)  y = 0.31x 
D)  y = 3.25x

Question 10

Solve.
-Find   for the function f = {(9, -6), (2, -8), (-5, 8)}.

Accepted Answer

A)    
B)  {-5, 2} 
C)  {-5, -8} 
D)  {8, -8} 
A)    
B)  {-5, 2} 
C)  {-5, -8} 
D)  {8, -8}

Question 11

Find the specified domain.
-For f(x) =   - 36 and g(x) = 2x + 3, what is the domain of f - g?

Accepted Answer

A)    
B)  (-6, 6) 
C)    
D)    
A)    
B)  (-6, 6) 
C)    
D)

Question 12

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)  g(x) = -4 |x| 
B)  g(x) = |x - 4| 
C)  g(x) = |x| - 4 
D)  g(x) = |x + 4| 
A)  g(x) = -4 |x| 
B)  g(x) = |x - 4| 
C)  g(x) = |x| - 4 
D)  g(x) = |x + 4|

Question 13

The graph of a function f is given. On the same axes, sketch the graph of   .
-

Accepted Answer

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

Question 14

Find the inverse of the function.
-f(x) = (

Accepted Answer

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

Question 15

Solve the problem.
-The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 5 cm on a side is 250 g, find the weight of the liquid in a cubical container 4 cm on a side.

Accepted Answer

A)  128 g 
B)  44 g 
C)  8 g 
D)  64 g 
A)  128 g 
B)  44 g 
C)  8 g 
D)  64 g

Question 16

Determine whether or not the function is one-to-one.
-f(x) =   - 6

Accepted Answer

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

Question 17

Find the constant of variation and construct the function that is expressed in each statement.
-y varies inversely as x: y = 5.25, when x = 0.52

Accepted Answer

A)    
B)  y = 10.1x 
C)    
D)    
A)    
B)  y = 10.1x 
C)    
D)

Question 18

Find the inverse of the function.
-f(x) = 1 - 4x

Accepted Answer

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

Question 19

Use transformations to graph the function and state the domain and range.
-

Accepted Answer

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

Question 20

Use transformations to graph the function and state the domain and range.
-

Accepted Answer

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

Find the difference quotient, , for the function and simplify it. -g(x) = + 10x - 5

Find the difference quotient, , for the function and simplify it. -p(x) = 2 -

Find the inverse of the function. -f(x) =

Write a formula to express the relationship. Use k as the constant of variation. -John kept track of the time it took him to drive to college from his home and the speed at which he drove. He found that the time t varies inversely as the speed r.

Find the constant of variation and construct the function that is expressed in each statement. -y varies inversely as x: y = 7, when x = 16

Graph the equation by plotting ordered pairs of numbers. -

Determine whether or not the function is one-to-one. -f(x) = - 3

Find the inverse of the function. -f(x) = - 4

Find the constant of variation and construct the function that is expressed in each statement. -y varies directly as x: y = 39, when x = 12

Solve. -Find for the function f = {(9, -6), (2, -8), (-5, 8)}.

Find the specified domain. -For f(x) = - 36 and g(x) = 2x + 3, 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). -

The graph of a function f is given. On the same axes, sketch the graph of . -

Find the inverse of the function. -f(x) = (

Solve the problem. -The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 5 cm on a side is 250 g, find the weight of the liquid in a cubical container 4 cm on a side.

Determine whether or not the function is one-to-one. -f(x) = - 6

Find the constant of variation and construct the function that is expressed in each statement. -y varies inversely as x: y = 5.25, when x = 0.52

Find the inverse of the function. -f(x) = 1 - 4x

Use transformations to graph the function and state the domain and range. -

Use transformations to graph the function and state the domain and range. -

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 difference quotient, , for the function and simplify it. -g(x) = + 10x - 5

Find the difference quotient, , for the function and simplify it. -p(x) = 2 -

Find the inverse of the function. -f(x) =

Write a formula to express the relationship. Use k as the constant of variation. -John kept track of the time it took him to drive to college from his home and the speed at which he drove. He found that the time t varies inversely as the speed r.

Find the constant of variation and construct the function that is expressed in each statement. -y varies inversely as x: y = 7, when x = 16

Graph the equation by plotting ordered pairs of numbers. -

Determine whether or not the function is one-to-one. -f(x) = - 3

Find the inverse of the function. -f(x) = - 4

Find the constant of variation and construct the function that is expressed in each statement. -y varies directly as x: y = 39, when x = 12

Solve. -Find for the function f = {(9, -6), (2, -8), (-5, 8)}.

Find the specified domain. -For f(x) = - 36 and g(x) = 2x + 3, 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). -

The graph of a function f is given. On the same axes, sketch the graph of . -

Find the inverse of the function. -f(x) = (

Solve the problem. -The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 5 cm on a side is 250 g, find the weight of the liquid in a cubical container 4 cm on a side.

Determine whether or not the function is one-to-one. -f(x) = - 6

Find the constant of variation and construct the function that is expressed in each statement. -y varies inversely as x: y = 5.25, when x = 0.52

Find the inverse of the function. -f(x) = 1 - 4x

Use transformations to graph the function and state the domain and range. -

Use transformations to graph the function and state the domain and range. -

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