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Illustrative Math - Algebra 2 - Unit 6 -Lesson 1

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This lesson is from Illustrative Mathematics. Algebra 1, Unit 6, Lesson 1. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/6/1/index.html ; accessed 29/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.

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Here is a point on a circle centered at (0,0).

Which equation defines the circle?

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The point (3,4) is on a circle centered at (0,0). Which of these points lie on the circle? Select all that apply.

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Match each polynomial with its end behavior as x gets larger and larger in the positive and negative directions. (Note: some of the answer choices are not used and some answer choices may be used more than once.)

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g(x)=\frac{3x}{x-6}

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The graph approaches y=6.

m(x)=\frac{(x+5)(x-4)(x-6)}{x-6}

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The graph approaches y=3.

k(x)=\frac{3x^{2}-16x+12}{x-6}

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The graph approaches y=0.

f(x)=\frac{6}{x-6}

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The graph approaches y=x^{2}+x-20.

h(x)=\frac{3x-18}{x-6}

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The graph approaches y=3x^{2}+16x-12.

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