Question 1

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the
x-axis at each x -intercept.
-

Accepted Answer

A) 1, multiplicity 2, touches x-axis 
B) -3, multiplicity 1, crosses x-axis; 1, multiplicity 2, touches x-axis 
C) -3, multiplicity 1, touches x-axis; 1, multiplicity 2, crosses x-axis 
D) 1, multiplicity 2, crosses x-axis 
A) 1, multiplicity 2, touches x-axis 
B) -3, multiplicity 1, crosses x-axis; 1, multiplicity 2, touches x-axis 
C) -3, multiplicity 1, touches x-axis; 1, multiplicity 2, crosses x-axis 
D) 1, multiplicity 2, crosses x-axis A

Question 2

Use transformations of the graph of   to graph the function.
-

Accepted Answer

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

Question 3

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the
x-axis at each x -intercept.
-

Accepted Answer

A) 0, multiplicity 1, crosses x-axis;   multiplicity 1, crosses x-axis;   , multiplicity 1, crosses x-axis 
B) 0, multiplicity 1, touches x-axis;   multiplicity 1, touches x-axis;   , multiplicity 1, touches x-axis )   , multiplicity 1, touches x-axis;
, multiplicity 1, touches x-axis   
C) 0, multiplicity 1D 
A) 0, multiplicity 1, crosses x-axis;   multiplicity 1, crosses x-axis;   , multiplicity 1, crosses x-axis 
B) 0, multiplicity 1, touches x-axis;   multiplicity 1, touches x-axis;   , multiplicity 1, touches x-axis )   , multiplicity 1, touches x-axis;
, multiplicity 1, touches x-axis   
C) 0, multiplicity 1D A

Question 4

Use transformations of the graph of   to graph the function.
-

Accepted Answer

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

Question 5

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the
x-axis at each x -intercept.
-

Accepted Answer

A)    multiplicity 4, touches x-axis; -4, multiplicity 3, crosses x-axis 
B)    multiplicity 4, crosses x-axis; -4, multiplicity 3, touches x-axis 
C)    ultiplicity 4, touches x-axis; 4, multiplicity 3, crosses x-axis 
D)    multiplicity 4, crosses x-axis; 4, multiplicity 3, touches x-axis 
A)    multiplicity 4, touches x-axis; -4, multiplicity 3, crosses x-axis 
B)    multiplicity 4, crosses x-axis; -4, multiplicity 3, touches x-axis 
C)    ultiplicity 4, touches x-axis; 4, multiplicity 3, crosses x-axis 
D)    multiplicity 4, crosses x-axis; 4, multiplicity 3, touches x-axis

Question 6

Use transformations of the graph of   to graph the function.
-

Accepted Answer

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

Question 7

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1.
-Zeros: 0, - 5, 4; degree 3

Accepted Answer

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

Question 8

Use transformations of the graph of   to graph the function.
-

Accepted Answer

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

Question 9

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1.
-Zeros: -5, -3, 3; degree 3

Accepted Answer

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

Question 10

Use transformations of the graph of   to graph the function.
-

Accepted Answer

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

Question 11

Use transformations of the graph of   to graph the function.
-

Accepted Answer

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

Question 12

Use transformations of the graph of   to graph the function.
-

Accepted Answer

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

Question 13

Use transformations of the graph of   to graph the function.
-

Accepted Answer

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

Question 14

State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.
-

Accepted Answer

A) No; x is raised to non-integer 3/2 power 
B) Yes; degree 2 
C) Yes; degree 3/2 
D) Yes; degree 3 
A) No; x is raised to non-integer 3/2 power 
B) Yes; degree 2 
C) Yes; degree 3/2 
D) Yes; degree 3

Question 15

State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.
-

Accepted Answer

A) No; x is raised to the negative 3 power 
B) Yes; degree 3 
C) Yes; degree -3 
D) Yes; degree   
A) No; x is raised to the negative 3 power 
B) Yes; degree 3 
C) Yes; degree -3 
D) Yes; degree

Question 16

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the
x-axis at each x -intercept.
-

Accepted Answer

A) -4, multiplicity 1, crosses x-axis; 5, multiplicity 3, crosses x-axis 
B) 4, multiplicity 1, crosses x-axis; -5, multiplicity 3, crosses x-axis 
C) -4, multiplicity 1, touches x-axis; 5, multiplicity 3 
D) 4, multiplicity 1, touches x-axis; -5, multiplicity 3 
A) -4, multiplicity 1, crosses x-axis; 5, multiplicity 3, crosses x-axis 
B) 4, multiplicity 1, crosses x-axis; -5, multiplicity 3, crosses x-axis 
C) -4, multiplicity 1, touches x-axis; 5, multiplicity 3 
D) 4, multiplicity 1, touches x-axis; -5, multiplicity 3

Question 17

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the
x-axis at each x -intercept.
-

Accepted Answer

A) No real zeros 
B) -2, multiplicity 1, crosses x-axis; -1, multiplicity 2, touches x-axis 
C) -2, multiplicity 1, touches x-axis; -1, multiplicity 2, crosses x-axis 
D)    multiplicity 1, crosses x-axis; -   multiplicity 1, crosses x-axis; 1, multiplicity 2, touches x-axis; -1, multiplicity 2, touches x-axis 
A) No real zeros 
B) -2, multiplicity 1, crosses x-axis; -1, multiplicity 2, touches x-axis 
C) -2, multiplicity 1, touches x-axis; -1, multiplicity 2, crosses x-axis 
D)    multiplicity 1, crosses x-axis; -   multiplicity 1, crosses x-axis; 1, multiplicity 2, touches x-axis; -1, multiplicity 2, touches x-axis

Question 18

State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.
-

Accepted Answer

A) No; it is a ratio of polynomials 
B) Yes; degree 3 
C) Yes; degree 4 
D) Yes; degree -4 
A) No; it is a ratio of polynomials 
B) Yes; degree 3 
C) Yes; degree 4 
D) Yes; degree -4

Question 19

Use transformations of the graph of   to graph the function.
-

Accepted Answer

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

Question 20

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1.
-Zeros: -2, multiplicity 2; -1, multiplicity 1; degree 3

Accepted Answer

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

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept. -

Use transformations of the graph of to graph the function. -

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept. -

Use transformations of the graph of to graph the function. -

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept. -

Use transformations of the graph of to graph the function. -

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. -Zeros: 0, - 5, 4; degree 3

Use transformations of the graph of to graph the function. -

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. -Zeros: -5, -3, 3; degree 3

Use transformations of the graph of to graph the function. -

Use transformations of the graph of to graph the function. -

Use transformations of the graph of to graph the function. -

Use transformations of the graph of to graph the function. -

State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not. -

State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not. -

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept. -

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept. -

State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not. -

Use transformations of the graph of to graph the function. -

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. -Zeros: -2, multiplicity 2; -1, multiplicity 1; degree 3

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Exponential and Logarithmic Functions

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

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Exam 5: Polynomial and Rational Functions

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept. -

Use transformations of the graph of to graph the function. -

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept. -

Use transformations of the graph of to graph the function. -

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept. -

Use transformations of the graph of to graph the function. -

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. -Zeros: 0, - 5, 4; degree 3

Use transformations of the graph of to graph the function. -

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. -Zeros: -5, -3, 3; degree 3

Use transformations of the graph of to graph the function. -

Use transformations of the graph of to graph the function. -

Use transformations of the graph of to graph the function. -

Use transformations of the graph of to graph the function. -

State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not. -

State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not. -

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept. -

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept. -

State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not. -

Use transformations of the graph of to graph the function. -

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. -Zeros: -2, multiplicity 2; -1, multiplicity 1; degree 3

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Exponential and Logarithmic Functions

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters