   Chapter 1.4, Problem 37E ### 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

# If you graph the function f ( x ) = 1 − e 1 / x 1 + e 1 / x    you' ll see that f appears to be an odd function. Prove it.

To determine

To prove: The given function f to be an odd function.

Explanation

Given:

The given function is f(x)=1e1x1+e1x

Proof:

Use the online graphing calculator and draw the graph for the function f(x) as shown below in Figure 1.

A function f  is said to be odd when f(x)=f(x).

Consider the function f(x)=1e1x1+e1x.

Obtain f(x)=f(x) as follows,

f(x)=1e1(x)1+e1(x

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