Question 1

Find the y-intercepts and any x-intercepts.
-y =   - 2x

Accepted Answer

A)  y-intercept (0, 0), x-intercept (0.4, 0) 
B)  y-intercept (0, 0), x-intercepts (0, 0) and (0.4, 0) 
C)  y-intercept (0, 0), x-intercepts (0, 0) and (-0.4, 0) 
D)  y-intercept (0, 0), x-intercepts (0, 0) and (0, 0.4) 
A)  y-intercept (0, 0), x-intercept (0.4, 0) 
B)  y-intercept (0, 0), x-intercepts (0, 0) and (0.4, 0) 
C)  y-intercept (0, 0), x-intercepts (0, 0) and (-0.4, 0) 
D)  y-intercept (0, 0), x-intercepts (0, 0) and (0, 0.4)

Question 2

Match the graph of the rational function with its equation.
-

Accepted Answer

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

Question 3

Use a graph or a table to find the limit.
-

Accepted Answer

A)    
B)  0 
C)  2 
D)    
A)    
B)  0 
C)  2 
D)

Question 4

Solve the inequality. State the solution set in interval notation and graph it.
-

Accepted Answer

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

Question 5

Use the theorem on bounds to establish the best integral bounds for the roots of the equation.
-

Accepted Answer

A)  -4 < x < 4 
B)  -4 < x < 1 
C)  -1 < x < 4 
D)  -1 < x < 1 
A)  -4 < x < 4 
B)  -4 < x < 1 
C)  -1 < x < 4 
D)  -1 < x < 1

Question 6

State the degree of the polynomial equation.
-(

Accepted Answer

A)  3 
B)  4 
C)  1 
D)  2 
A)  3 
B)  4 
C)  1 
D)  2

Question 7

Use the rational zero theorem to find all possible rational zeros for the polynomial function.
-P(x) =   + 2x - 5

Accepted Answer

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

Question 8

Use the leading coefficient test to determine whether   .
-y =

Accepted Answer

A)    
B)    
A)    
B)

Question 9

Use the theorem on bounds to establish the best integral bounds for the roots of the equation.
--

Accepted Answer

A)  -1 < x < 1 
B)  No bound can be determined. 
C)  -2 < x < 2 
D)  -1 < x < 2 
A)  -1 < x < 1 
B)  No bound can be determined. 
C)  -2 < x < 2 
D)  -1 < x < 2

Question 10

Solve the problem.
-The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches:   . What rainfall produces the maximum number of mosquitoes?

Accepted Answer

A)  324 in. 
B)  0 in. 
C)  18 in. 
D)  9 in. 
A)  324 in. 
B)  0 in. 
C)  18 in. 
D)  9 in.

Question 11

Solve the problem.
-The polynomial function   gives the rate of gas leakage from a tank as pressure increases in p units from its initial setting. Will an increase of 4 unit(s) result in a lower rate of leakage compared to the initial
Setting?

Accepted Answer

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

Question 12

Solve the problem.
-A rectangular shipping crate, like the figure shown, has a diagonal measurement from the lower back corner to the upper front corner of 78 in. If the longest side is 4 times the shortest side and the third side is 6 longer than
The shortest side, find the measurements of the crate to the nearest unit. The formula for the diagonal is

Accepted Answer

A)  30 in., 72 in., 78 in. 
B)  19 in., 25 in., 76 in. 
C)  18 in., 24 in., 72 in. 
D)  30 in., 31 in., 120 in. 
A)  30 in., 72 in., 78 in. 
B)  19 in., 25 in., 76 in. 
C)  18 in., 24 in., 72 in. 
D)  30 in., 31 in., 120 in.

Question 13

Use synthetic division to find the function value.
-f(x) =   find f(4).

Accepted Answer

A)  51 
B)  252 
C)  48 
D)  45 
A)  51 
B)  252 
C)  48 
D)  45

Question 14

Find the maximum or minimum point of the function and state whether it is a maximum or minimum.
-f(x) =

Accepted Answer

A)  (5, 6); maximum 
B)  (6, 0); minimum 
C)  (5, 0); maximum 
D)  (6, 5); minimum 
A)  (5, 6); maximum 
B)  (6, 0); minimum 
C)  (5, 0); maximum 
D)  (6, 5); minimum

Question 15

Use the leading coefficient test to determine whether   .
-y = -

Accepted Answer

A)    
B)    
A)    
B)

Question 16

Explain the behavior of the graph of f(x) as it approaches its vertical asymptote.
-f(x) =

Accepted Answer

A)    from the left and the right 
B)    from the left, approaches   from the right 
C)    from the left and the right 
D)    from the left, approaches   from the right 
A)    from the left and the right 
B)    from the left, approaches   from the right 
C)    from the left and the right 
D)    from the left, approaches   from the right

Question 17

Identify the axis of symmetry of the parabola.
-y = x   + 2

Accepted Answer

A)  x = - 1 
B)  x = 1 
C)  x = 2 
D)  x = 0 
A)  x = - 1 
B)  x = 1 
C)  x = 2 
D)  x = 0

Question 18

Match the graph of the rational function with its equation.
-

Accepted Answer

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

Question 19

For the given function, find all asymptotes of the type indicated (if there are any).
-f(x) =   horizontal

Accepted Answer

A)  y = 0 
B)    
C)    
D)  None 
A)  y = 0 
B)    
C)    
D)  None

Question 20

Use Descartes's rule of signs to discuss the possibilities for the roots of the equation. Do not solve the equation.
--

Accepted Answer

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

Find the y-intercepts and any x-intercepts. -y = - 2x

Match the graph of the rational function with its equation. -

Use a graph or a table to find the limit. -

Solve the inequality. State the solution set in interval notation and graph it. -

Use the theorem on bounds to establish the best integral bounds for the roots of the equation. -

State the degree of the polynomial equation. -(

Use the rational zero theorem to find all possible rational zeros for the polynomial function. -P(x) = + 2x - 5

Use the leading coefficient test to determine whether . -y =

Use the theorem on bounds to establish the best integral bounds for the roots of the equation. --

Solve the problem. -The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: . What rainfall produces the maximum number of mosquitoes?

Solve the problem. -The polynomial function gives the rate of gas leakage from a tank as pressure increases in p units from its initial setting. Will an increase of 4 unit(s) result in a lower rate of leakage compared to the initial Setting?

Use synthetic division to find the function value. -f(x) = find f(4).

Find the maximum or minimum point of the function and state whether it is a maximum or minimum. -f(x) =

Use the leading coefficient test to determine whether . -y = -

Explain the behavior of the graph of f(x) as it approaches its vertical asymptote. -f(x) =

Identify the axis of symmetry of the parabola. -y = x + 2

Match the graph of the rational function with its equation. -

For the given function, find all asymptotes of the type indicated (if there are any). -f(x) = horizontal

Use Descartes's rule of signs to discuss the possibilities for the roots of the equation. Do not solve the equation. --

Equations, Inequalities, and Modeling

Functions and Graphs

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 3: Polynomial and Rational Functions

Find the y-intercepts and any x-intercepts. -y = - 2x

Match the graph of the rational function with its equation. -

Use a graph or a table to find the limit. -

Solve the inequality. State the solution set in interval notation and graph it. -

Use the theorem on bounds to establish the best integral bounds for the roots of the equation. -

State the degree of the polynomial equation. -(

Use the rational zero theorem to find all possible rational zeros for the polynomial function. -P(x) = + 2x - 5

Use the leading coefficient test to determine whether . -y =

Use the theorem on bounds to establish the best integral bounds for the roots of the equation. --

Solve the problem. -The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: . What rainfall produces the maximum number of mosquitoes?

Solve the problem. -The polynomial function gives the rate of gas leakage from a tank as pressure increases in p units from its initial setting. Will an increase of 4 unit(s) result in a lower rate of leakage compared to the initial Setting?

Use synthetic division to find the function value. -f(x) = find f(4).

Find the maximum or minimum point of the function and state whether it is a maximum or minimum. -f(x) =

Use the leading coefficient test to determine whether . -y = -

Explain the behavior of the graph of f(x) as it approaches its vertical asymptote. -f(x) =

Identify the axis of symmetry of the parabola. -y = x + 2

Match the graph of the rational function with its equation. -

For the given function, find all asymptotes of the type indicated (if there are any). -f(x) = horizontal

Use Descartes's rule of signs to discuss the possibilities for the roots of the equation. Do not solve the equation. --

Equations, Inequalities, and Modeling

Functions and Graphs

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