Explanation Given information: The polynomial function is U ( x ) = − x 3 + 2 x 2 . Concept used: The end behavior of the polynomial function depends upon the degree of the polynomial function and sign of the leading coefficient. If a polynomial has odd degree and its leading coefficient is positive then, U ( x ) → ∞ as x → ∞ and U ( x ) → − ∞ as x → − ∞ If a polynomial has odd degree and its leading coefficient is negative then, U ( x ) → − ∞ as x → ∞ and U ( x ) → ∞ as x → − ∞ If polynomial has even degree, and its leading coefficient is positive then, U ( x ) → ∞ as x → ∞ and U ( x ) → ∞ as x → − ∞ If polynomial has even degree, and its leading coefficient is To determine (b) To find: The graph that resembles the graph of the polynomial function U ( x ) = − x 3 + 2 x 2 .

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ISBN: 9781305115545

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Chapter 3.2, Problem 14E

To determine

(a)

To find:

The end behavior of the polynomial function U(x)=−x3+2x2.

To determine

(b)

To find:

The graph that resembles the graph of the polynomial function U(x)=−x3+2x2.

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Chapter 3.2, Problem 13E

Chapter 3.2, Problem 15E

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(a) To find: The end behavior of the polynomial function U ( x ) = − x 3 + 2 x 2 .

Solution Summary: The author explains the end behavior of the polynomial function U(x)=-x

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(a)

To find:

The end behavior of the polynomial function U(x)=−x3+2x2.

(b)

To find:

The graph that resembles the graph of the polynomial function U(x)=−x3+2x2.

Want to see the full answer?

Chapter 3 Solutions

(a) To find: The end behavior of the polynomial function U ( x ) = − x 3 + 2 x 2 .

Solution Summary: The author explains the end behavior of the polynomial function U(x)=-x

Videos

(a) To find: The end behavior of the polynomial function U(x)=−x3+2x2.

(b) To find: The graph that resembles the graph of the polynomial function U(x)=−x3+2x2.

Want to see the full answer?

Chapter 3 Solutions

(a)

To find:

The end behavior of the polynomial function U(x)=−x3+2x2.

(b)

To find:

The graph that resembles the graph of the polynomial function U(x)=−x3+2x2.