Illustrative Math - Algebra 2 - Unit 2 - Lesson 8 - Formative Library | Library

1

Match each polynomial with its end behavior. Some end behavior options may not have a matching polynomial.

Draggable item		Corresponding Item
f(x)=2x^{3}+3x^{4}+x^{2}-1		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)=9+x^{4}		As x gets larger and larger in the positive direction, f(x) gets larger and larger in the positive direction. As gets larger and larger in the negative direction, f(x) gets larger and larger in the negative direction.
f(x)=2x+5		As x gets larger and larger in the positive direction, f(x) gets larger and larger in the negative direction. As gets larger and larger in the negative direction, f(x) gets larger and larger in the positive direction.
f(x)=1-3x+x^{2}		As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the negative direction.

1

Which polynomial function gets larger and larger in the negative direction as x gets larger and larger in the negative direction?

1

The graph of a polynomial function f is shown. Which statement about the polynomial is true?

1

Kiran wrote f(x)=(x-3)(x-7) as an example of a function whose graph has x-intercepts at x=-3,-7. What was his mistake?

1

A polynomial function, f(x), has x-intercepts at (-6,0) and (2,0). What is one possible factor of f(x)?

This lesson is from Illustrative Mathematics. Algebra 2, Unit 2, Lesson 8. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/2/8/index.html ; accessed 27/July/2021.

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