Considering the leading term of y = -3x 3 + 5x 2 + 1 What is the end behavior?

Left side goes up/Right side goes down

Left side goes up/Right side goes up

Left side goes down/Right side goes up

Left side goes down/Right side goes down

Select the best answer for: The polynomial is...

Even degree, positive leading coefficient.

Odd degree, positive leading coefficient.

Odd degree, negative leading coefficient.

Even degree, negative leading coefficient.

State the end behavior.

as x →∞, f(x) →∞ as x →-∞, f(x) →-∞

as x →∞, f(x) →∞ as x →-∞, f(x) →∞

as x →∞, f(x) →-∞ as x →-∞, f(x) →-∞

as x →∞, f(x) →-∞ as x →-∞, f(x) →∞

State the end behavior.

as x →∞, f(x) →-∞ as x →-∞, f(x) →-∞

as x →∞, f(x) →∞ as x →-∞, f(x) →∞

as x →∞, f(x) →-∞ as x →-∞, f(x) →∞

as x →∞, f(x) →∞ as x →-∞, f(x) →-∞

State the end behavior.

as x →∞, f(x) →-∞ as x →-∞, f(x) →∞

as x →∞, f(x) →∞ as x →-∞, f(x) →∞

as x →∞, f(x) →-∞ as x →-∞, f(x) →-∞

as x →∞, f(x) →∞ as x →-∞, f(x) →-∞

State the end behavior. -7x 9 + x 3 + x + 1

as x →∞, f(x) →-∞ as x →-∞, f(x) →∞

as x →∞, f(x) →∞ as x →-∞, f(x) →∞

as x →∞, f(x) →-∞ as x →-∞, f(x) →-∞

as x →∞, f(x) →∞ as x →-∞, f(x) →-∞

State the end behavior. 5x 6 + x 5 + x + 1

as x →∞, f(x) →∞ as x →-∞, f(x) →∞

as x →∞, f(x) →-∞ as x →-∞, f(x) →-∞

as x →∞, f(x) →-∞ as x →-∞, f(x) →∞

as x →∞, f(x) →∞ as x →-∞, f(x) →-∞

State the end behavior. 8x 9 + x 3 + x + 7

as x →∞, f(x) →∞ as x →-∞, f(x) →-∞

as x →∞, f(x) →∞ as x →-∞, f(x) →∞

as x →∞, f(x) →-∞ as x →-∞, f(x) →-∞

as x →∞, f(x) →-∞ as x →-∞, f(x) →∞

State the end behavior. -8x 8 + x 3 + x + 7

as x →∞, f(x) →-∞ as x →-∞, f(x) →-∞

as x →∞, f(x) →∞ as x →-∞, f(x) →∞

as x →∞, f(x) →-∞ as x →-∞, f(x) →∞

as x →∞, f(x) →∞ as x →-∞, f(x) →-∞

State the end behavior. 42x 7 + x 2 + 3x + 1

as x →∞, f(x) →∞ as x →-∞, f(x) →-∞

as x →∞, f(x) →∞ as x →-∞, f(x) →∞

as x →∞, f(x) →-∞ as x →-∞, f(x) →-∞

as x →∞, f(x) →-∞ as x →-∞, f(x) →∞

State the end behavior. -6x 3 + x 2 + 3x + 1

as x →∞, f(x) →-∞ as x →-∞, f(x) →∞

as x →∞, f(x) →∞ as x →-∞, f(x) →∞

as x →∞, f(x) →-∞ as x →-∞, f(x) →-∞

as x →∞, f(x) →∞ as x →-∞, f(x) →-∞

State the end behavior. -6x 18 + 6x 7 + 2x + 7

as x →∞, f(x) →-∞ as x →-∞, f(x) →-∞

as x →∞, f(x) →∞ as x →-∞, f(x) →∞

as x →∞, f(x) →-∞ as x →-∞, f(x) →∞

as x →∞, f(x) →∞ as x →-∞, f(x) →-∞

Properties of Polynomials

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-IF.C.7A, HSA.APR.B.3, 8.F.A.1

+3

Standards-aligned

Barbara White

FREE Resource

49 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The domain of a polynomial function is always (-∞, +∞).

True

False

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The range of a polynomial function is always (-∞, +∞).

True

False

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the range of this quadratic function?

All real numbers.

[2, infinity)

[4, infinity)

(negative infinity, 4]

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What would be the leading coefficient if this this polynomial was written in standard form?

8

-4

-1

1

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the range of this function?

All real numbers.

[2, infinity)

[-2, infinity)

[0, infinity)

What is the interval of increase?

(negative infinity, -2)

(-2, infinity)

(2, infinity)

(negative infinity, 2)

What is the relative maximum value?

y = 4

y = 2

y = 1

y = -1

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