Illustrative Math - Algebra 2 - Unit 2 - Lesson 19 - Formative Library | Library

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The function f(x)=\frac{5x+2}{x-3}can be rewritten in the form f(x)=5+\frac{17}{x-3}. What is the end behavior of y=f(x)?

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Rewrite the rational function g(x)={x^{2}+7x-12}{x+2} in the form g(x)=p(x)+\frac{r}{x+2}, where p(x) is a polynomial and r is an integer.

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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 are used more than once.)

		The graph approaches y=2
		The graph approaches y=3
		The graph approaches y=2x+3
		The graph approaches y=x^{2}+x+1
		The graph approaches y=0

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Let the function P be defined by P(x)=x^{3}+2x^{2}-13x+10. Mai divides P(x) by x+5 and gets:
How could we tell by looking at the remainder that (x+5) is a factor?

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For the polynomial function f(x)=x^{4}+3x^{3}-x^{2}-3x we have f(-3)=-40,f(-2)=-6,f(-1)=1,f(0)=0,f(1)=30,f(2)=30,f(3)=144 . 

Rewrite f(x) as a product of linear factors.

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Match each rational function with a description of its end behavior as  gets larger and larger.

		The value of the expression gets closer and closer to 0.
		The value of the expression gets closer and closer to 1.
		The value of the expression gets closer and closer to 9.
		The value of the expression gets closer and closer to 99.
		The value of the expression gets larger and larger in the positive direction.
		The value of the expression gets larger and larger in the negative direction.

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This lesson is from Illustrative Mathematics. Algebra 2, Unit 2, Lesson 19. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/2/19/index.html ; accessed 27/July/2021.

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