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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 1 - Problem 17re
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 1 - Problem 17re

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# Symmetry: Identify the symmetry in the graphs of the

ISBN: 9780321570567 2

## Solution for problem 17RE Chapter 1

Calculus: Early Transcendentals | 1st Edition

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Problem 17RE

Symmetry: Identify the symmetry in the graphs of the following equations. ? a. ?y = cos 3?x ? ? b. v? =? 3x? 4 ? 3x ? 2 + 1 ? ? c. v? 2 ? 4x ? 2 = 4

Step-by-Step Solution:

Step-by-step solution Step 1 To find the symmetry of the given functions, we use the following test: If a function f satisfies f(x) = f(x) for every number x in its domain, then f is called an even function. Even functions are symmetric about the y-axis. If a function f satisfies f(x) =f(x) for every number x in its domain, then f is called an odd function. Odd functions are symmetric about the origin.

Step 2 of 13

Step 3 of 13

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Symmetry: Identify the symmetry in the graphs of the