# Lesson 9

End Behavior (Part 2)

### 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.

A:

The degree of the polynomial is even.

B:

The degree of the polynomial is odd.

C:

D:

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.

### Solution

(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.

### Solution

(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:

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