   Chapter 4.3, Problem 3E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Suppose you are given a formula for a function f.(a) How do you determine where f is increasing or decreasing?(b) How do you determine where the graph of f is concave upward or concave downward?(c) How do you locate inflection points?

(a)

To determine

Whether f is increasing or decreasing.

Explanation

Definition used: Increasing/ decreasing Test

“(a) If f(x)>0 on an interval, then f is increasing on that interval.

(b) If f(x)<0 on an interval, then f is decreasing on that interval”

(b)

To determine

Whether the graph of f is concave upward or concave downward.

(c)

To determine

To describe: The way to locate inflection point.

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