/*! 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} Q 44. In Problems 33鈥� 44, determine ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q 44. (page 90)

In Problems 33鈥� 44, determine algebraically whether each function is even, odd, or neither.

F(x)=2xx

Short Answer

Expert verified

The given functionF(x)=2xxis an odd function.

Step by step solution

01

Step 1. Write the given information and use the definition of odd and even function.

The given function is:

F(x)=2xx

A function fis even if, for every number xin its domain, the number -xis also in the domain and f(-x)=f(x).

A function fis odd if, for every number xin its domain, the number -xis also in the domain and f(-x)=-f(x).

02

Step 2. Determine if the function is even.

Replace xby -xin the given function,

F(-x)=2(-x)-x=-2xx

Since role="math" localid="1645811873270" F(-x)鈮�F(x),Fis not an even function.

03

Step 3. Determine if the function is odd.

Find the function -F(x),

-F(x)=-2xx

Since F(-x)=-F(x),Fis an odd function.

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

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

fx=-x3

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

g(x)=12x

True or False The independent variable is sometimes

referred to as the argument of the function.

The domain of the variable in the expression x-3x+4is _________.

Find the following for each function:

fx=3xx2-1

Part (a):f2

Part (b):f-2

Part (c):f-x

Part (d):-fx

Part (e):fx-2

Part (f):f2x
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

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.