BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.7, Problem 14E
To determine

To Check : whether the function is one to one or not.

Expert Solution

Answer to Problem 14E

No, the function is not one to one.

Explanation of Solution

Given information : The function f(x)=|x| is given.

Formula used : If f(x) is one to one then if, f(x1)=f(x2), then x1=x2 .

Calculation :

This function is not one to one. For instance

  f(1)=|1|=1 And also, f(1)=|1|=1

Hence for x1x2 ; f(x1)=f(x2) .

Therefore the function f(x)=|x| is not one to one.

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