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 15E
To determine

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

Expert Solution

Answer to Problem 15E

No, the function is not one to one.

Explanation of Solution

Given information : The function h(x)=x22x 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

  h(x1)=h(x2)x122x1=x222x2x1(x12)=x2(x22)

Hence for x1=0 & x2=2 , h(x)=0 .

Therefore the function h(x)=x22x is not one to one because for x1x2f(x1)=f(x2) .

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