   Chapter 1.1, Problem 78E ### 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

# Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check your answer visually.78. f ( x ) = 1 + 3 x 3 − x 5

To determine

Whether the function f(x)=1+3x3x5 is odd, even or neither; justify the answer with graph using the graphing calculator.

Explanation

Definition used:

If f(x)=f(x), the function f(x) is said to be an odd function.

If f(x)=f(x), the function f(x) is said to be an even function.

Calculation:

It is given that the function is f(x)=1+3x3x5.

Find the value of f(x) by substituting −x for x in f(x).

f(x)=1+3(x)3(x)5=1+3(x3)

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