   Chapter 1, Problem 3RCC ### 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

# (a) What is an even function? How can you tell if a function is even by looking at its graph? Give three examples of an even function.(b) What is an odd function? How can you tell if a function is odd by looking at its graph? Give three examples of an odd function.

(a)

To determine

To explain: An even function; how to identify an even function by graph; three example of even function.

Explanation

Even function: A function f(x) is said to be an even function if it satisfies condition, f(x)=f(x). Each point in a negative y-axis is a reflection of the points in the positive x-axis. That is, if there exist a point (3, 4), then there also will be a point (−3, 4).

How to identify an even function: If a graph of the function is symmetric about the y-axis then the function is said to be an even function

(b)

To determine

To explain: An odd function; how to identify an odd function by graph; three example of odd function.

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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 