Deck 5: Polynomial and Rational Functions

Question 1

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

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

Answer 1

Yes; degree 1

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.

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

Answer 2

Yes; degree 3

Question 3

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

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

Answer 3

Yes; degree 5

Question 4

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

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

Question 5

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

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

Question 6

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

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

Question 7

Use transformations of the graph of to graph the function.

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.

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

Question 9

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)= 13

A)Yes; degree 0
B)No; it is a constant
C)No; it contains no variables
D)Yes; degree 1

Question 10

Use transformations of the graph of to graph the function.

A)
B)
C)
D)

Question 11

Use transformations of the graph of to graph the function.

A)
B)
C)
D)

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.

A)Yes; degree 5
B)Yes; degree 9
C)Yes; degree 10
D)No; the last term has no variable

Question 13

Use transformations of the graph of to graph the function.

A)
B)
C)
D)

Question 14

Use transformations of the graph of to graph the function.

A)
B)
C)
D)

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.

A)Yes; degree 3
B)Yes; degree 5
C)Yes; degree 6
D) has a non-integer coefficient

Question 16

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)

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

Question 17

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

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 18

Use transformations of the graph of to graph the function.

A)
B)
C)
D)

Question 19

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

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

Question 20

Use transformations of the graph of to graph the function.

A)
B)
C)
D)

Question 21

Use transformations of the graph of to graph the function.

A)
B)
C)
D)

Question 22

Use transformations of the graph of to graph the function.

A)
B)
C)
D)

Question 23

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1.
Zeros: -1, 1, - 9; degree 3

A)
B)
C)
D)

Question 24

Use transformations of the graph of to graph the function.

A)
B)
C)
D)

Question 25

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

A)
B)
C)
D)

Question 26

Use transformations of the graph of to graph the function.

A)
B)
C)
D)

Question 27

Use transformations of the graph of to graph the function.

A)
B)
C)
D)

Question 28

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

A)
B)
C)
D)

Question 29

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

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 30

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

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 31

Use transformations of the graph of to graph the function.

A)
B)
C)
D)

Question 32

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

A)
B)
C)
D)

Question 33

Use transformations of the graph of to graph the function.

A)
B)
C)
D)

Question 34

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

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 35

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

A)
B)
C)
D)

Question 36

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

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

Question 37

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

A)
B)
C)
D)

Question 38

Use transformations of the graph of to graph the function.

A)
B)
C)
D)

Question 39

Use transformations of the graph of to graph the function.

A)
B)
C)
D)

Question 40

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

A)
B)
C)
D)

Question 41

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

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 42

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

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 43

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

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 44

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

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 45

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

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