Question 1

Solve the quadratic inequality by graphing an appropriate quadratic function.
-

Accepted Answer

A)  [-3, 1] 
B)   
C)   
D)

Question 2

Find all of the real and imaginary zeros for the polynomial function.
-f(x) =  + 25x + 125

Accepted Answer

A)   
B)  -5, 125i, 25i 
C)  -5, -5i, 5i 
D)

Question 3

Find the maximum or minimum point of the function and state whether it is a maximum or minimum.
-f(x) =  + 12x + 9

Accepted Answer

A)  (-3, 0); maximum 
B)  (-2, -3); minimum 
C)  (-3, -2); maximum 
D)  (-2, 0); minimum

Question 4

Sketch the graph of the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 5

Use the rational zero theorem to find all possible rational zeros for the polynomial function.
-P(x) =  + 4x - 24

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Provide an appropriate response.
-Fill in the blank to complete the statement. For the polynomial function

Accepted Answer

A)  -21.1 
B)  0 
C)   
D)

Question 7

State the solution set to the inequality by reading the graph.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 8

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

Accepted Answer

A)   
B)

Question 9

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

Accepted Answer

A)  3 
B)   
C)   
D)  0

Question 10

Discuss the symmetry of the graph of the polynomial function.
-

Accepted Answer

A)  Symmetric about x-axis 
B)  None 
C)  Symmetric about origin 
D)  Symmetric about y-axis

Question 11

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

Accepted Answer

A)   
B)

Question 12

Identify the vertex of the parabola.
-y =  - 40x - 103

Accepted Answer

A)  (3, 5) 
B)  (-3, -5) 
C)  (5, 3) 
D)  (-5, -3)

Question 13

Sketch the graph of the polynomial function.
-f(x) = (3x + 2)(x - 1)(x - 2)

Accepted Answer

A)   
B)   
C)   
D)

Question 14

Graph.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 15

Use the rational zero theorem, Descartes's rule of signs, and the theorem on bounds as aids in finding all real and
imaginary roots to the equation.
-

Accepted Answer

A)   , multiplicity 2;  , multiplicity 2 
B)   
C)   , multiplicity 2; -5 
D)  -4, -5, 5

Question 16

Find a polynomial equation with real coefficients that has the given roots.
-6, 2

Accepted Answer

A)   
B)   
C)   
D)

Exam 3: Polynomial and Rational Functions

Solve the quadratic inequality by graphing an appropriate quadratic function. -

Find all of the real and imaginary zeros for the polynomial function. -f(x) = + 25x + 125

Find the maximum or minimum point of the function and state whether it is a maximum or minimum. -f(x) = + 12x + 9

Sketch the graph of the function. -

Use the rational zero theorem to find all possible rational zeros for the polynomial function. -P(x) = + 4x - 24

Provide an appropriate response. -Fill in the blank to complete the statement. For the polynomial function

State the solution set to the inequality by reading the graph. -

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

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

Discuss the symmetry of the graph of the polynomial function. -

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

Identify the vertex of the parabola. -y = - 40x - 103

Sketch the graph of the polynomial function. -f(x) = (3x + 2) (x - 1) (x - 2)

Graph. -

Use the rational zero theorem, Descartes's rule of signs, and the theorem on bounds as aids in finding all real and imaginary roots to the equation. -

Find a polynomial equation with real coefficients that has the given roots. -6, 2