   Chapter 3.1, Problem 59E

Chapter
Section
Textbook Problem

# (a) Use a graph to estimate the absolute maximum and minimum values of the function to two decimal places.(b) Use calculus to find the exact maximum and minimum values. f ( x ) = x 5 − x 3 + 2 ,    − 1 ≤ x ≤ 1

To determine

Part (a):

To estimate:

The absolute maximum and minimum values of f(x) to two decimal places on the given interval by using the graph.

Explanation

1) Concept:

By using the graphing device, draw a graph of f(x) in the given interval, and then estimate the absolute maximum and minimum values by moving the cursor close to the maximum and minimum point on that graph.

2) Given:

fx=x5-x3+2, -1 x 1

3) Calculation:

Graph:

To determine

Part (b):

To find:

The exact maximum and minimum values of f(x) using calculus on the given interval.

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