Illustrative Math - Algebra 2 - Unit 2 - Lesson 19
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11 Questions
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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.)
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The graph approaches y=2
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The graph approaches y=3
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The graph approaches y=2x+3
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The graph approaches y=x^{2}+x+1
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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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5.
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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11.
Match each rational function with a description of its end behavior as gets larger and larger.
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The value of the expression gets closer and closer to 0.
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The value of the expression gets closer and closer to 1.
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The value of the expression gets closer and closer to 9.
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The value of the expression gets closer and closer to 99.
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The value of the expression gets larger and larger in the positive direction.
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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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