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) 0, multiplicity 2, touches x-axis; 1, multiplicity 1, crosses x-axis;   multiplicity 1, crosses x-axis;   multiplicity 1, crosses x-axis 
B) 0, multiplicity 2, crosses x-axis; 1, multiplicity 1, touches x-axis;   multiplicity 1, touches x-axis;
-   multiplicity 1, touches x-axis 
C) 0, multiplicity 2, touches x-axis; 1, multiplicity 1, crosses x-axis 
D) 0, multiplicity 2, crosses x-axis; 1, multiplicity 1, touches x-axis 
A) 0, multiplicity 2, touches x-axis; 1, multiplicity 1, crosses x-axis;   multiplicity 1, crosses x-axis;   multiplicity 1, crosses x-axis 
B) 0, multiplicity 2, crosses x-axis; 1, multiplicity 1, touches x-axis;   multiplicity 1, touches x-axis;
-   multiplicity 1, touches x-axis 
C) 0, multiplicity 2, touches x-axis; 1, multiplicity 1, crosses x-axis 
D) 0, multiplicity 2, crosses x-axis; 1, multiplicity 1, touches x-axis

Question 2

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) Yes; degree 3 
B) Yes; degree 1 
C) No; it is a ratio 
D) No; x is a negative term 
A) Yes; degree 3 
B) Yes; degree 1 
C) No; it is a ratio 
D) No; x is a negative term

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) -4, multiplicity 1, crosses x-axis; 4, multiplicity 2, touches x-axis 
B) 4, multiplicity 1, crosses x-axis; -4, multiplicity 2, touches x-axis 
C) -4, multiplicity 1, touches x-axis; 4, multiplicity 2, crosses x-axis 
D) 4, multiplicity 1, touches x-axis; -4, multiplicity 2, crosses x-axis 
A) -4, multiplicity 1, crosses x-axis; 4, multiplicity 2, touches x-axis 
B) 4, multiplicity 1, crosses x-axis; -4, multiplicity 2, touches x-axis 
C) -4, multiplicity 1, touches x-axis; 4, multiplicity 2, crosses x-axis 
D) 4, multiplicity 1, touches x-axis; -4, multiplicity 2, crosses x-axis

Question 4

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

Accepted Answer

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

Question 5

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

Accepted Answer

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

Question 6

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1.
-Zeros: 2, multiplicity 2; -2, multiplicity 2; degree 4

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: -4, 1, 2, 4; degree 4

Accepted Answer

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

Question 8

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 a negative power 
B) Yes; degree 0 
C) Yes; degree 7 
D) Yes; degree 1 
A) No; x is raised to a negative power 
B) Yes; degree 0 
C) Yes; degree 7 
D) Yes; degree 1

Question 9

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

Accepted Answer

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

Question 10

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 2, touches x-axis 
B)    multiplicity 2, touches x-axis; -6, multiplicity 3, crosses x-axis 
C)    multiplicity 2, touches x-axis; 6, multiplicity 3, crosses x-axis 
D)    multiplicity 2, crosses x-axis 
A)    multiplicity 2, touches x-axis 
B)    multiplicity 2, touches x-axis; -6, multiplicity 3, crosses x-axis 
C)    multiplicity 2, touches x-axis; 6, multiplicity 3, crosses x-axis 
D)    multiplicity 2, crosses x-axis

Question 11

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) Yes; degree 5 
B) Yes; degree 1 
C) Yes; degree 6 
D) Yes; degree 3 
A) Yes; degree 5 
B) Yes; degree 1 
C) Yes; degree 6 
D) Yes; degree 3

Question 12

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) Yes; degree 20 
B) Yes; degree 11 
C) Yes; degree 66 
D) Yes; degree 6 
A) Yes; degree 20 
B) Yes; degree 11 
C) Yes; degree 66 
D) Yes; degree 6

Question 13

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 power 
B) Yes; degree 1 
C) Yes; degree 2 
D) No; it is a product 
A) No; x is raised to non-integer power 
B) Yes; degree 1 
C) Yes; degree 2 
D) No; it is a product

Question 14

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 4, touches x-axis;   multiplicity 1, crosses x-axis;   multiplicity 1, crosses x-axis 
B) 0, multiplicity 4, crosses x-axis;   multiplicity 1, touches x-axis;   multiplicity 1, touches x-axis 
C) 0, multiplicity 4, touches x-axis 
D) 0, multiplicity 4, crosses x-axis 
A) 0, multiplicity 4, touches x-axis;   multiplicity 1, crosses x-axis;   multiplicity 1, crosses x-axis 
B) 0, multiplicity 4, crosses x-axis;   multiplicity 1, touches x-axis;   multiplicity 1, touches x-axis 
C) 0, multiplicity 4, touches x-axis 
D) 0, multiplicity 4, crosses x-axis

Question 15

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

Accepted Answer

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

Question 16

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

Accepted Answer

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

Question 17

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

Accepted Answer

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

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) Yes; degree 1 
B) Yes; degree 4 
C) Yes; degree 0 
D) No; x has a fractional coefficient 
A) Yes; degree 1 
B) Yes; degree 4 
C) Yes; degree 0 
D) No; x has a fractional coefficient

Question 19

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

Accepted Answer

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

Question 20

State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.
-f(x)= x(x - 12)

Accepted Answer

A) Yes; degree 2 
B) Yes; degree 0 
C) No; it is a product 
D) Yes; degree 1 
A) Yes; degree 2 
B) Yes; degree 0 
C) No; it is a product 
D) Yes; degree 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. -

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. -

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

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; -2, multiplicity 2; degree 4

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. -Zeros: -4, 1, 2, 4; degree 4

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. -

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. -

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. -

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

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. -

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. -f(x)= x(x - 12)

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

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. -

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. -

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

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; -2, multiplicity 2; degree 4

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. -Zeros: -4, 1, 2, 4; degree 4

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. -

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. -

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. -

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

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. -

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. -f(x)= x(x - 12)

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