Question 1

Tell whether the graph of the function opens up or down.
-P(x)  =  + 2

Accepted Answer

A)   down
B)   upC) A) and B)
D) undefined

Question 2

Use synthetic division to find the quotient and remainder when the first polynomial is divided by the second.
-

Accepted Answer

A)   
B)   
C)   
D)   E) C) and D)
F) B) and C)

Question 3

Find the y-intercepts and any x-intercepts.
-y =  + 8

Accepted Answer

A)   x-intercept (8, 0) , no y-intercepts
B)   y-intercept (8, 0) , no x-intercepts
C)   y-intercept (0, 8) , x-intercept (8, 0) 
D)   y-intercept (0, 8) , no x-interceptsE) A) and D)
F) B) and C)

Question 4

Sketch the graph of the function.
-

Accepted Answer

A)   
B)   
C)   
D)   E) All of the above
F) B) and C)

Question 5

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 3 units result in a lower rate of leakage compared to the initial
Setting?

Accepted Answer

A)   Yes
B)   NoC) A) and B)
D) undefined

Question 6

Provide an appropriate response.
-What are the possible numbers of real zeros (counting multiplicities)  for a polynomial function with real coefficients of degree six?

Accepted Answer

A)   1, 3, or 5
B)   2, 4, or 6
C)   6
D)   0, 2, 4, or 6E) None of the above
F) B) and C)

Question 7

Discuss the symmetry of the graph of the polynomial function.
-f(x)  =

Accepted Answer

A)   Symmetric about x = 1
B)   Symmetric about x = - 1
C)   None
D)   Symmetric about y = - 1E) C) and D)
F) None of the above

Question 8

Use ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the
second.
- + 3, x + 2

Accepted Answer

A)   x2 + 2x + 4; -5
B)    - 2x + 4; -8
C)    + 2x + 4; -8
D)    - 2x + 4; -5E) B) and D)
F) A) and B)

Question 9

Graph.
-

Accepted Answer

A)   
B)   
C)   
D)   E) C) and D)
F) All of the above

Question 10

Identify the vertex of the parabola.
-y =  + 12x - 16

Accepted Answer

A)   (-2, -3) 
B)   (3, 2) 
C)   (-3, -2) 
D)   (2, 3) E) A) and B)
F) B) and D)

Question 11

Factor the polynomial completely, given that the binomial is a factor.
-

Accepted Answer

A)   
B)   (x - 5) (x + 8) (x + 2) 
C)   
D)   (x + 5) (x - 8) (x - 2) E) All of the above
F) B) and C)

Question 12

Identify the axis of symmetry of the parabola.
-y =  - 60x + 183

Accepted Answer

A)   x = 3
B)   x = 6
C)   x = 0
D)   x = -3E) A) and B)
F) All of the above

Question 13

Tell whether the graph of the function opens up or down.
-P(x)  =  + 5

Accepted Answer

A)   up
B)   downC) A) and B)
D) undefined

Question 14

From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of
symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which
the function is increasing or decreasing.
-

Accepted Answer

A)    , min -1, dec 
B)   
C)    min -1, dec 
D)    , min -1, inc E) All of the above
F) A) and D)

Question 15

Solve the rational inequality. State the solution set using interval notation.
-

Accepted Answer

A)   
B)   
C)   
D)   E) B) and D)
F) None of the above

Question 16

State the degree of the polynomial equation.
-

Accepted Answer

A)   1
B)   2
C)   4
D)   3E) None of the above
F) C) and D)

Question 17

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

Accepted Answer

A)   
B)   
C)   
D)   E) B) and C)
F) A) and D)

Question 18

Solve the inequality. State the solution set in interval notation and graph it.
- 0   A)    B)    C)    D)   " class="answers-bank-image d-inline" rel="preload" > + 2x + 1 > 0  0   A)    B)    C)    D)   " class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)    0   
A)     
B)     
C)     
D)    " class="answers-bank-image d-inline" rel="preload" >
B)    0   
A)     
B)     
C)     
D)    " class="answers-bank-image d-inline" rel="preload" >
C)    0   
A)     
B)     
C)     
D)    " class="answers-bank-image d-inline" rel="preload" >
D)    0   
A)     
B)     
C)     
D)    " class="answers-bank-image d-inline" rel="preload" >E) A) and B)
F) A) and C)

Question 19

Identify the axis of symmetry of the parabola.
-f(x)  = -  - 4x - 4

Accepted Answer

A)   x = 2
B)   x = 1
C)   x = -1
D)   x = -2E) A) and D)
F) All of the above

Question 20

Find all real and imaginary solutions to the equation.
-

Accepted Answer

A)   {9, 10}
B)   {3, 4}
C)   {6, 7}
D)   E) B) and D)
F) All of the above

Exam 3: Polynomial and Rational Functions

Identify the axis of symmetry of the parabola. -f(x) = - - 4x - 4

Correct AnswerverifiedShow Answer

From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which the function is increasing or decreasing. -

Correct AnswerverifiedShow Answer

Identify the vertex of the parabola. -y = + 12x - 16

Correct AnswerverifiedShow Answer

Provide an appropriate response. -What are the possible numbers of real zeros (counting multiplicities) for a polynomial function with real coefficients of degree six?

Correct AnswerverifiedShow Answer

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 3 units result in a lower rate of leakage compared to the initial Setting?

Correct AnswerverifiedShow Answer

Find the y-intercepts and any x-intercepts. -y = + 8

Correct AnswerverifiedShow Answer

Solve the inequality. State the solution set in interval notation and graph it. - + 2x + 1 > 0

Correct AnswerverifiedShow Answer

Find all real and imaginary solutions to the equation. -

Correct AnswerverifiedShow Answer

Tell whether the graph of the function opens up or down. -P(x) = + 2

Correct AnswerverifiedShow Answer

Identify the axis of symmetry of the parabola. -y = - 60x + 183

Correct AnswerverifiedShow Answer

Graph. -

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

State the degree of the polynomial equation. -

Correct AnswerverifiedShow Answer

Use ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second. - + 3, x + 2

Correct AnswerverifiedShow Answer

Sketch the graph of the function. -

Correct AnswerverifiedShow Answer

Tell whether the graph of the function opens up or down. -P(x) = + 5

Correct AnswerverifiedShow Answer

Use synthetic division to find the quotient and remainder when the first polynomial is divided by the second. -

Correct AnswerverifiedShow Answer

Solve the rational inequality. State the solution set using interval notation. -

Correct AnswerverifiedShow Answer

Discuss the symmetry of the graph of the polynomial function. -f(x) =

Correct AnswerverifiedShow Answer

Factor the polynomial completely, given that the binomial is a factor. -

Correct AnswerverifiedShow Answer

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified