Lesson 9

End Behavior (Part 2)

  • Let’s describe the end behavior of polynomials.

Problem 1

Match the polynomial with its end behavior.

Problem 2

State the degree and end behavior of f(x)=\text-x^3+5x^2+6x+1. Explain or show your reasoning.

Problem 3

The graph of a polynomial function f is shown. Select all the true statements about the polynomial.

graph of a polynomial function. x intercepts of -2, 0 point 5, and 3. y intercept = 6. f of x increases as x increases in the positive direction.
A:

The degree of the polynomial is even.

B:

The degree of the polynomial is odd.

C:

The leading coefficient is positive.

D:

The leading coefficient is negative.

E:

The constant term of the polynomial is positive.

F:

The constant term of the polynomial is negative.

Problem 4

Write the sum of 5x^2 + 2x - 10 and 2x^2 + 6 as a polynomial in standard form.

(From Unit 2, Lesson 4.)

Problem 5

State the degree and end behavior of f(x)=4x^3+3x^5-x^2-2. Explain or show your reasoning.

(From Unit 2, Lesson 8.)

Problem 6

Select all the polynomial functions whose graphs have x-intercepts at x=4,\text-\frac14,\text-2.

A:

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

B:

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

C:

(x-4)(4x-1)(x-2)

D:

(x+4)(4x+1)(x+2)

E:

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

F:

(4x-16)(4x + 1)(x + 2)

(From Unit 2, Lesson 7.)