/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 102 If you are given a function's eq... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 102

If you are given a function's equation, how do you determine if the function is even, odd, or neither?

Short Answer

Expert verified
To determine if a function is even, odd, or neither, substitute \(-x\) into the function for \(x\). If the function is unchanged, it is even. If the negated function matches the original, it is odd. If neither of these match, the function is neither even nor odd.

Step by step solution

01

Try to See if the Function is Even

Substitute \(-x\) into the equation for \(x\). Simplify the function accordingly. If the resulting function matches the original function, the function is even.
02

Try to See if the Function is Odd

If the function isn't even, substitute \(-x\) into the equation for \(x\). Then multiply the function by -1. If the resulting function matches the original function, the function is odd.
03

Function is Neither

If the function does not match the original equation after either of these substitutions and simplifications, the function is neither even nor odd.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. $$ x^{2}+y^{2}+3 x-2 y-1=0 $$

In your own words, describe how to find the midpoint of a line segment if its endpoints are known.

give the center and radius of the circle described by the equation and graph each equation. Use the graph to identify the relation's domain and range. $$ (x+2)^{2}+y^{2}=16 $$

What is a piecewise function?

complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. $$ x^{2}+y^{2}-6 y-7=0 $$
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.