Quiz about Graphing Higher Degree Polynomials

Question 1

Identify the function that belongs to the following graph.

Accepted Answer

f(x)=(x-3)(x-2)(x+1)

Answer

f(x)=(x+2)(x+3)(x-1)

Answer

f(x)=(x+1)(x-4)(x-2)

Answer

f(x)=(x+2)(x-2)(x+1)

Question 2

Identify the equation of the following graph.

Accepted Answer

f(x)=(x-4)(x-2)(x+1)

Answer

f(x)=(x+3)(x-1)(x+2)

Answer

f(x)=(x+4)(x+2)(x-1)

Answer

f(x)=(x-3)(x+2)(x-4)

Question 3

Identify the zeros of the following graph.

Accepted Answer

-5,0

Answer

0,5

Answer

-2,-10

Answer

10,2

Question 4

Identify the zeros from the following function.

f(x)= 1/2(x+3)(x-5)(x+2)

Accepted Answer

-3,5,-2

Answer

3,5,-1

Answer

1/2,3,-5

Answer

-3,-4,1

Question 5

How many zeros does the polynomial function
P(x) = 3x⁴+4x-8 have?

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 6

Question 6.

Accepted Answer

The function has an Odd degree

Answer

The function has an Even degree

Answer

The function has a Negative coefficient

Answer

The function has 3 real zeros

Question 7

Question 7.

Accepted Answer

Negative Odd

Answer

Positive Odd

Answer

Positive Even

Answer

Negative Even

Question 8

Determine the y-intercept
f(x) = x³ - 5x² - 25x + 125

Accepted Answer

(0,125)

Answer

(0,0)

Answer

(0,25)

Answer

(0,5)

Question 9

Describe the end behavior of the function:

f(x) = 2x³ - x + 5

Accepted Answer

Left down, Right up

Answer

Left up, Right up

Answer

Left up, Right down

Answer

Left down, Right down

Question 10

Describe the end behavior of the function:

f(x) = -5x² + 3x

Accepted Answer

Left down, Right down

Answer

Left up, Right up

Answer

Left up, Right down

Answer

Left down, Right up

Question 11

Find all roots:

(x + 2)(x - 3)(3x - 5) = 0

Accepted Answer

-2, 3, 5/3

Answer

2, -3, -3/5

Answer

2, -3, 8

Answer

-2, 3, 5

Question 12

Is this polynomial ODD or EVEN?

f(x) = -7x³ + 11x⁵ - 4x⁶ + 113x

Accepted Answer

EVEN

Answer

ODD

Question 13

Is this polynomial ODD or EVEN?

f(x) = 6x³ - 2x⁷ + 8x² + 11x⁶ - 9x + 11

Accepted Answer

ODD

Answer

EVEN

Question 14

Describe the end behavior of the function:

f(x) = 2x³ - x + 5

Accepted Answer

Left down, Right up

Answer

Left up, Right up

Answer

Left up, Right down

Answer

Left down, Right down

Question 15

Describe the end behavior of the function:

f(x) = -5x² + 3x

Accepted Answer

Left down, Right down

Answer

Left up, Right up

Answer

Left up, Right down

Answer

Left down, Right up

Question 16

The graph of which polynomial points up at both ends?

Accepted Answer

an even polynomial with a positive leading coefficient

Answer

an even polynomial with a negative leading coefficient

Answer

an odd polynomial with a positive leading coefficient

Answer

an odd polynomial with a negative leading coefficient

Question 17

The graph of which polynomial points down on the left end and points up on the right end?

Accepted Answer

an odd polynomial with a positive leading coefficient

Answer

an even polynomial with a positive leading coefficient

Answer

an even polynomial with a negative leading coefficient

Answer

an odd polynomial with a negative leading coefficient

Question 18

The graph of which polynomial points down at both ends?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 19

Which of the following is the graph of a polynomial with a

negative leading coefficient?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 20

Select all the even degree functions.

Accepted Answer

C

Accepted Answer

D

Answer

A

Answer

B

Question 21

Which functions have a negative leading coefficient?

Accepted Answer

D

Accepted Answer

B

Answer

A

Answer

C

Question 22

Which function has a root with a multiplicity greater than 1?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 23

Which of the following could be an equation for the function shown?

Accepted Answer

y=x(x+2)(x-1)

Answer

y=x(x-2)(x+1)

Answer

y=-3x(x+2)(x-1)

Answer

y=-2x(x-2)(x+1)

Question 24

Which statements are true? Select two.

Accepted Answer

A root with a multiplicity of 3 will result in a plateau point.

Accepted Answer

An even degree function with a positive leading coefficient will approach infinity as the x values get larger.

Answer

A root with an even multiplicity will cross the x-axis.

Answer

Parabolas must cross or touch the x-axis.

Question 25

Which three statements are true of the function f(x)=2-5x+3x²-2x³?

Accepted Answer

The function has a y-intercept at 2.

Accepted Answer

The function has a negative leading coefficient.

Accepted Answer

The degree of the function is 3.

Answer

The graph of the function is a parabola.

Answer

As x-values get larger the y-values get larger.

Question 26

In which functions can you quickly find the x-intercepts of their graphs?

Accepted Answer

y = 2x(x-4)(x+1)

Accepted Answer

y = -3(x+1)(x-5)

Answer

y = 3x²- 2

Answer

y = 5 - 2x + 3x²+ 6x³

Question 27

Describe the type of polynomial shown.

Accepted Answer

Even degree, positive leading coefficient

Answer

Even degree, negative leading coefficient

Answer

Even Function

Answer

Odd degree, negative leading coefficient

Question 28

What can be determined by the constant, c, of a polynomial equation in standard form?

Accepted Answer

y-intercept

Answer

x-intercept

Answer

zeros

Answer

degree

Question 29

What CANNOT be determined by the factors of a polynomial in factored form?

Accepted Answer

y-intercept

Answer

x-intercepts

Answer

solutions

Answer

degree of the polynomial

Question 30

Which of the following is NOT a solution to f(x)=3x(x-8)(2x+1)²?

Accepted Answer

1/2

Answer

0

Answer

-1/2

Answer

8

Question 31

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

Accepted Answer

Leading Coefficient Positive
Degree - Odd

Answer

Leading Coefficient Positive
Degree - Even

Answer

Leading Coefficient Negative
Degree - Even

Answer

Leading Coefficient Negative
Degree - Odd

Question 32

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

Accepted Answer

Leading Coefficient Positive
Degree - Even

Answer

Leading Coefficient Positive
Degree - Odd

Answer

Leading Coefficient Negative
Degree - Even

Answer

Leading Coefficient Negative
Degree - Odd

Question 33

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

Accepted Answer

Leading Coefficient Negative
Degree - Odd

Answer

Leading Coefficient Positive
Degree - Even

Answer

Leading Coefficient Positive
Degree - Odd

Answer

Leading Coefficient Negative
Degree - Even

Question 34

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

Accepted Answer

Leading Coefficient Negative
Degree - Even

Answer

Leading Coefficient Positive
Degree - Even

Answer

Leading Coefficient Positive
Degree - Odd

Answer

Leading Coefficient Negative
Degree - Odd

Question 35

Describe the end behavior of the function.
y = 4x¹⁰

Accepted Answer

up and up

Answer

down and down

Answer

down and up

Answer

up and down

Question 36

Describe the end behavior of the function.

y = -6x + 4 + 9x³

Accepted Answer

down and up

Answer

down and down

Answer

up and down

Answer

up and up

Graphing Higher Degree Polynomials

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