Log in
Sign up for FREE
arrow_back
Library

Illustrative Math - Algebra 2 - Unit 2 - Lesson 9

star
star
star
star
star
Last updated about 3 years ago
6 questions
1
F.BF.3
1
F.BF.3
1
F.BF.3
1
F.BF.3
1
F.BF.3
1
F.BF.3
Question 1
1.

Match the polynomial with its end behavior.

Draggable itemarrow_right_altCorresponding Item
f(x)=7-x^{4}
arrow_right_alt
As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the positive direction.
f(x)=1-x^{2}+2x^{3}
arrow_right_alt
As x gets larger and larger in the positive direction, f(x) gets larger and larger in the positive direction. As x gets larger and larger in the negative direction, f(x) gets larger and larger in the negative direction.
arrow_right_alt
arrow_right_alt
Question 2
2.

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

Question 3
3.

Question 4
4.

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

Question 5
5.

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

Question 6
6.

This lesson is from Illustrative Mathematics. Algebra 2, Unit 2, Lesson 9. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/2/9/index.html ; accessed 27/July/2021.

IM Algebra 1, Geometry, Algebra 2 is © 2019 Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.

These materials include public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.
f(x)=x^{2}-6x+3
As x gets larger and larger in the positive direction, f(x) gets larger and larger in the negative direction. As x gets larger and larger in the negative direction, f(x) gets larger and larger in the positive direction.
f(x)=-2x+3
As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the negative direction.
The graph of a polynomial function f is shown. Select all the true statements about the polynomial.
The degree of the polynomial is even.
The degree of the polynomial is odd.
The constant term of the polynomial is negative.
The leading coefficient is negative.
The leading coefficient is positive.
The constant term of the polynomial is positive.
Select all the polynomial functions whose graphs have BIx-intercepts at x=4,-\frac{1}{4},-2.
(x+4)(4x+1)(x+2)
(x+4)(4x-1)(x-2)
(x-4)(4x+1)(x+2)
(4x-16)(4x+1)(x+2)
(2x+4)(4x-1)(x-2)
(x-4)(4x-1)(x-2)