/*! 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. 18 Determine(algebraically)whethere... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 18 (page 124)

Determine(algebraically)whethere the given function is even, odd,or neither.

f(x)=x3-4x

Short Answer

Expert verified

The given function f(x)=x3-4xis odd function

Step by step solution

01

Step 1.Given information

The given functionf(x)=x3-4x

02

Step 2.Determine whether the given function is even, odd,or neither.

The function is even if f(-x)=f(x)and odd iff(-x)=-f(x) .If none of these conditions are satisfied.

Find f(-x) by replacing -x for x in the given function

role="math" localid="1645959404079" f(-x)=(-x)3-4(-x)=-x3+4x=-(x3-4x)=-f(x)

Therefore,the given function is odd. since,f(-x)=-f(x)

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

In Problems 7鈥�18, match each graph to one of the following functions:

A.y=x2+2B.y=-x2+2C.y=x+2D.y=-x+2E.y=(x-2)2F.y=-(x+2)2G.y=x-2H.y=-x+2I.y=2x2J.y=-2x2K.y=2xL.y=-2x

If 4,2is a point on the graph of y=f(x), which of the following points must be on the graph of y=f2(x)?

A wire of length xis bent into the shape of a square.

Part (a): Express the perimeter pof the square as a function of x.

Part (b): Express the area Aof the square as a function of x.

A rectangle is inscribed in a circle of radius of 2. See the figure. Let P=x,ybe the point in quadrant I that is a vertex of the rectangle and is on the circle.

Part (a): Express the area Aof the rectangle as a function of x.

Part (b): Express the perimeter pof the rectangle as a function of x.

Part (c): Graph A=Ax. For what value of xis Alargest?

Part (d): Graph p=px. For what value ofxis p largest?

True or FalseThe cube root function is odd and is decreasing on the interval (-鈭�,鈭�).
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

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.