Suppose f(x)=-16002x^4+3201x^3-20578x^2+4017x+15 a.What is the “end behavior” of this function? That is, what happens to the y-values as x goes to infinity, and as x goes to negative infinity? b. What are the maximum possible number of x-intercepts of the function? c.what are the maximum possible number of turning points for the function?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose f(x)=-16002x^4+3201x^3-20578x^2+4017x+15

a.What is the “end behavior” of this function? That is, what happens to the y-values as x goes to infinity, and as x goes to negative infinity?

b. What are the maximum possible number of x-intercepts of the function?

c.what are the maximum possible number of turning points for the function?

Expert Solution
Step 1

Consider the function:

a) End Behaviour:

fx=16002x4+3201x320578x2+4017x+15

When x goes to infinity or negative infinity, the y-values goes into negative infinity.

Domain: ,Range: ,212.575

 

 

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