/*! 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. 101 Is every odd function one-to-one... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 101 (page 271)

Is every odd function one-to-one? Explain.

Short Answer

Expert verified

No, every odd function is not one-to-one because if a function is odd thenf-x=-fxand one-to-one implies thatf(a)=f(b).

Step by step solution

01

Step 1. Given Information

We have to explain that is every odd function one-to-one.

02

Step 2. Explanation

Let the function f(x)=tanx, it is an odd function but it is not one-to-one. Therefore, every odd function is not one-to-one and we can find out by looking at the following graph, by doing a horizontal line test, we get that the line intersects at many points. Thus, it signifies that the function is not one-to-one.

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

The graph of an exponential function is given. Match each graph to one of the following functions.

A function y=f(x)is decreasing on the interval(0,5).What conclusions can you draw about the graph ofy=f-1(x)?

Solve the equation 5x=5-6

and verify your results using a graphing utility

If g(-5)=3 and g is one-to-one, what is g-1(3)?

The graph of an exponential function is given. Match each graph to one of the following functions.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Decision Maths

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.