Quiz about Characteristics of Polynomial Graphs

Question 1

Question 1.

Accepted Answer

(-3, 0), (-2, 0), (2, 0), (3, 0)

Answer

(-2.55, 0), (2.55, 0)

Answer

(0, 36)

Answer

(0, -3), (0, -2), (0, 2), (0, 3)

Question 2

Question 2.

Accepted Answer

C.

Answer

A.

Answer

B.

Answer

D.

Question 3

At what x-value does a relative maximum occur?

Accepted Answer

1

Answer

4

Answer

-1

Answer

2

Question 4

At what x-value does a relative minimum occur?

Accepted Answer

-1

Answer

1

Answer

2

Answer

0

Question 5

Describe the end behavior of

f(x) = -5x⁴- 2x² + 8

Accepted Answer

Left side: Down

Right side: Down

Answer

Left side: UP

Right side: UP

Answer

Left Side: Up

Right side: Down

Answer

Left side: Down

Right side: Up

Question 6

Describe the end behavior of

f(x) = 2x² + 6x⁵ + 10x

Accepted Answer

Left side: Down

Right side: Up

Answer

Left side: Up

Right side: Down

Answer

Left side: Up

Right side: Down

Answer

Left side: Down

Right side: Down

Question 7

Question 7.

Accepted Answer

3rd degree polynomial with a positive leading coefficient

Answer

4th degree polynomial with a positive leading coefficient

Answer

4th degree polynomial with a negative leading coefficient

Answer

3rd degree polynomial with a negative leading coefficient

Question 8

The polynomial is...

Accepted Answer

Even degree, positive leading coefficient.

Answer

Odd degree, positive leading coefficient.

Answer

Odd degree, negative leading coefficient.

Answer

Even degree, negative leading coefficient.

Question 9

Find the zeros.

Accepted Answer

x = 0 and 4

Answer

x = 0 and -4

Answer

x = 0

Answer

x = -4

Question 10

What is the degree of the polynomial:
f(x) = 3x² + 4x - 5

Accepted Answer

Degree 2  (quadratic)

Answer

Degree 3 (cubic)

Answer

Degree 4 (quartic)

Answer

Degree 5 (quintic)

Question 11

What type of polynomial could be represented by this graph?

Accepted Answer

Even Degree

- Leading Coefficient

Answer

Even Degree

+ Leading Coefficient

Answer

Odd Degree

- Leading Coefficient

Answer

Odd Degree

+ Leading Coefficient

Question 12

What is the degree of the polynomial 3x⁴ + 2x² + 5x ?

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 13

What is the degree of the polynomial 17x + 4

Accepted Answer

1

Answer

0

Answer

2

Answer

3

Question 14

What type of polynomial is this and what is its degree?
5b³ - 3 + 6b

Accepted Answer

3rd degree trinomial

Answer

3rd degree binomial

Answer

3rd degree monomial

Answer

1st degree polynomial

Question 15

What is the constant in the polynomial?
-2xyz + 3x² - 2y² - 6z² + 32

Accepted Answer

32

Answer

-2

Answer

3

Answer

-6

Question 16

When a polynomial is written in standard form, the coefficient of the first term is called the _____________.

Accepted Answer

Leading coefficient

Answer

Boss coefficient

Answer

Best coefficient

Answer

Greatest common coefficient

Question 17

The following polynomial is written in standard form:
7x³ - 11x² + 8x - 5

Accepted Answer

True

Answer

False

Question 18

What is the leading coefficient of the polynomial?
9x⁵ + 2x⁴ - x³ + 9x² - 2

Accepted Answer

9

Answer

5

Answer

2

Answer

4

Question 19

What kind of leading coefficient does the function have?
f(x) = -2x² + 4x - 7

Accepted Answer

negative

Answer

positive

Question 20

What kind of leading coefficient does the function have?
f(x) = 4x⁴ + 6x³ - x

Accepted Answer

positive

Answer

negative

Question 21

Use the end behavior to determine whether the leading coefficient is positive or negative and whether the degree is even or odd.

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 22

Use the end behavior to determine if the leading coefficient is positive or negative and whether the degree is even or odd.

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 23

Use the degree and the leading coefficient to determine the end behavior.

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 24

Determine the end behavior of the polynomial by identifying the degree and leading coefficient.

f(x) = 5x⁴ - x + 6

Accepted Answer

UP-UP

Answer

UP-DOWN

Answer

DOWN-UP

Answer

DOWN-DOWN

Question 25

Use the degree and the leading coefficient to determine the end behavior.

f(x) = -x⁵ - 4x +2

Accepted Answer

Left up, Right down

Answer

Left up, Right up

Answer

Left down, Right up

Answer

Left down, Right down

Question 26

Use the end behavior to determine if the leading coefficient is positive or negative and whether the degree is even or odd.

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 27

Which function has this end behavior?
Note: f(x)=y

Accepted Answer

x⁴+3x³-4x+1

Answer

-x2-3x+1

Answer

-x³+2x²+3

Answer

x⁵-4x⁴+2x²-1

Question 28

Which function has this end behavior?
Note: f(x)=y

Accepted Answer

-2x⁷+2x⁴+4

Answer

-1x⁴-3x³+3

Answer

3x⁸+3x⁵-4x+7

Answer

4x⁵-4x⁴+2x³-9

Question 29

How many turning points does the function have?

Accepted Answer

3

Answer

2

Answer

4

Answer

5

Question 30

At what x-value does the relative maxima occur?

Accepted Answer

5

Answer

2.5

Answer

8

Answer

3

Question 31

Which of the following statement are false.

Accepted Answer

There are more relative maximums than there are relative minimums.

Answer

There is a relative min at the point (8,0)

Answer

There is another relative min at the point (0,-7.5)

Answer

There is a relative max at the point (5,2.5)

Question 32

Fill in the blank:  The maximum number of turning points is ____ less than the degree of the polynomial.

Accepted Answer

1

Answer

0

Answer

2

Answer

3

Question 33

What is the maximum number of turning for the function f(x) = 8x³-27

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Question 34

What is the maximum number of turning points for the function?
f(x) = -x⁵ - 4x +2

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Characteristics of Polynomial Graphs

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