Question 1

Determine whether the relation is a function.
-{(-6, 4), (-3, -9), (-1, 1), (4, -3)}

Accepted Answer

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

Question 2

Find a formula for the inverse of the function described below.
-A size-4 dress in Country C is size 38 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) = x + 34.

Accepted Answer

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

Question 3

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

Accepted Answer

A)  Increasing on (-1, 0) and (3, 5); Decreasing on (0, 3); Constant on (-5, -3) 
B)  Increasing on (-2, 0) and (3, 4); Decreasing on (-5, -2) and (1, 3) 
C)  Increasing on (-2, 0) and (3, 5); Decreasing on (1, 3); Constant on (-5, -2) 
D)  Increasing on (1, 3); Decreasing on (-2, 0) and (3, 5); Constant on (2, 5) 
A)  Increasing on (-1, 0) and (3, 5); Decreasing on (0, 3); Constant on (-5, -3) 
B)  Increasing on (-2, 0) and (3, 4); Decreasing on (-5, -2) and (1, 3) 
C)  Increasing on (-2, 0) and (3, 5); Decreasing on (1, 3); Constant on (-5, -2) 
D)  Increasing on (1, 3); Decreasing on (-2, 0) and (3, 5); Constant on (2, 5)

Question 4

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

Accepted Answer

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

Question 5

Graph the function.
-

Accepted Answer

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

Question 6

Find the function from the given verbal description of the function.
-If w is equal to the square root of x, y is the sum of w and 1, and z is y divided by 6, then write z as a function of x.

Accepted Answer

A)    
B)    
C)    
D)    + 1 
A)    
B)    
C)    
D)    + 1

Question 7

Provide an appropriate response.
-Is f(x + h) the same as f(x) + f(h)? Explain and give an example.

Accepted Answer

No. Explan

Question 8

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

Accepted Answer

A)  Increasing on (-3, -1); Decreasing on (-5, -2) and (2, 4); Constant on (-1, 2) 
B)  Increasing on (-3, 0); Decreasing on (-5, -3) and (2, 5); Constant on (0, 2) 
C)  Increasing on (-5, -3) and (2, 5); Decreasing on (-3, 0); Constant on (0, 2) 
D)  Increasing on (-3, 1); Decreasing on (-5, -3) and (0, 5); Constant on (1, 2) 
A)  Increasing on (-3, -1); Decreasing on (-5, -2) and (2, 4); Constant on (-1, 2) 
B)  Increasing on (-3, 0); Decreasing on (-5, -3) and (2, 5); Constant on (0, 2) 
C)  Increasing on (-5, -3) and (2, 5); Decreasing on (-3, 0); Constant on (0, 2) 
D)  Increasing on (-3, 1); Decreasing on (-5, -3) and (0, 5); Constant on (1, 2)

Question 9

Determine whether the function is even, odd, or neither.
-f(x) =   - 5

Accepted Answer

A)  Neither 
B)  Odd 
C)  Even 
A)  Neither 
B)  Odd 
C)  Even

Question 10

Find the function from the given verbal description of the function.
-If m is the square of n and y is m minus 5, then write y as a function of n.

Accepted Answer

A)  y = 2n - 5 
B)    
C)    
D)    
A)  y = 2n - 5 
B)    
C)    
D)

Question 11

Write a formula to express the relationship. Use k as the constant of variation.
-The height h of a triangle with a fixed area varies inversely as the base b.

Accepted Answer

A)  b = kh 
B)    
C)  h = kb 
D)    
A)  b = kh 
B)    
C)  h = kb 
D)

Question 12

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

Accepted Answer

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

Question 13

Determine whether or not the function is one-to-one.
-f(x) = 6x - 2

Accepted Answer

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

Question 14

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

Question 15

Determine whether the relation is a function.
-{(-5, 4), (-1, 3), (1, 4), (6, -5)}

Accepted Answer

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

Question 16

Graph the equation by plotting ordered pairs of numbers.
-

Accepted Answer

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

Question 17

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 18

List the symmetries of the given function, if there are any. Otherwise, state "No symmetry".
-f(x) =   + 4x3

Accepted Answer

A)  y-axis 
B)  x-axis, y-axis, origin 
C)  Origin 
D)  No symmetry 
A)  y-axis 
B)  x-axis, y-axis, origin 
C)  Origin 
D)  No symmetry

Question 19

Find the inverse of the function.
-f(x) =   - 6

Accepted Answer

A)    
B)    
C)  f-1(x) = 3 x +3 6 
D)  Not invertible 
A)    
B)    
C)  f-1(x) = 3 x +3 6 
D)  Not invertible

Question 20

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

Accepted Answer

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

Determine whether the relation is a function. -{(-6, 4), (-3, -9), (-1, 1), (4, -3)}

Find a formula for the inverse of the function described below. -A size-4 dress in Country C is size 38 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) = x + 34.

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

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

Graph the function. -

Find the function from the given verbal description of the function. -If w is equal to the square root of x, y is the sum of w and 1, and z is y divided by 6, then write z as a function of x.

Provide an appropriate response. -Is f(x + h) the same as f(x) + f(h)? Explain and give an example.

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

Determine whether the function is even, odd, or neither. -f(x) = - 5

Find the function from the given verbal description of the function. -If m is the square of n and y is m minus 5, then write y as a function of n.

Write a formula to express the relationship. Use k as the constant of variation. -The height h of a triangle with a fixed area varies inversely as the base b.

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

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

Determine whether the relation is a function. -{(-5, 4), (-1, 3), (1, 4), (6, -5)}

Graph the equation by plotting ordered pairs of numbers. -

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

List the symmetries of the given function, if there are any. Otherwise, state "No symmetry". -f(x) = + 4x3

Find the inverse of the function. -f(x) = - 6

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

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 whether the relation is a function. -{(-6, 4), (-3, -9), (-1, 1), (4, -3)}

Find a formula for the inverse of the function described below. -A size-4 dress in Country C is size 38 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) = x + 34.

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

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

Graph the function. -

Find the function from the given verbal description of the function. -If w is equal to the square root of x, y is the sum of w and 1, and z is y divided by 6, then write z as a function of x.

Provide an appropriate response. -Is f(x + h) the same as f(x) + f(h)? Explain and give an example.

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

Determine whether the function is even, odd, or neither. -f(x) = - 5

Find the function from the given verbal description of the function. -If m is the square of n and y is m minus 5, then write y as a function of n.

Write a formula to express the relationship. Use k as the constant of variation. -The height h of a triangle with a fixed area varies inversely as the base b.

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

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

Determine whether the relation is a function. -{(-5, 4), (-1, 3), (1, 4), (6, -5)}

Graph the equation by plotting ordered pairs of numbers. -

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

List the symmetries of the given function, if there are any. Otherwise, state "No symmetry". -f(x) = + 4x3

Find the inverse of the function. -f(x) = - 6

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

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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