A polynomial function is given.P(x) = x(x2 – 4)(a) Describe the end behavior of the polynomial function.End behavior:as x → 0yas x → -0 (b) Match the polynomial function with one of the following graphs.yy1010-3-113-33WebAssign Plot– 10-10yy10105-3-113-3-2-13– 10-10yy1010-3-2-13-313–10- 10

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Answered: A polynomial function is given. P(x) =…

A polynomial function is given. P(x) = x(x2 – 4) (a) Describe the end behavior of the polynomial function. End behavior: as x → 0 as x -

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.4: Real Zeros Of Polynomials

Problem 88E

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Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.

Question

A polynomial function is given.
P(x) = x(x2 – 4)
(a) Describe the end behavior of the polynomial function.
End behavior:
as x → 0
y
as x → -0

(b) Match the polynomial function with one of the following graphs.
y
y
10
10
-3
-1
1
3
-3
3
WebAssign Plot
– 10
-10
y
y
10
10
5
-3
-1
1
3
-3
-2
-1
3
– 10
-10
y
y
10
10
-3
-2
-1
3
-3
1
3
–10
- 10

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