# To evaluate f ( x ) = | x | x at a number, we substitute the number for x in the definition of f ( x )

### Precalculus: Mathematics for Calcu...

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

### Precalculus: Mathematics for Calcu...

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

#### Solutions

Chapter 2.1, Problem 26E
To determine

## To evaluate f(x)=|x|x at a number, we substitute the number for x in the definition of f(x)

Expert Solution

The values of the given functionare:

f(2)=1,f(1)=1,f(0)=Undefined,f(5)=1,f(x2)=1,f(1x)=1

### Explanation of Solution

Given information: consider the function f(x)=|x|x

Calculation:

Evaluate the values of the function f(x)=|x|x for the given values of the variable x

Plug the value x=2, in the function f(x)=|x|x then we get the value of f(2).

f(2)=|2|2f(2)=22f(2)=1

Plug the value x=1, in the function f(x)=|x|x then we get the value of f(1).

f(1)=|1|1f(1)=11f(1)=1

Plug the value x=0, in the function f(x)=|x|x then we get the value of f(0).

f(0)=|0|0f(0)=00f(0)=Undefined

Plug the value x=5, in the function f(x)=|x|x then we get the value of f(5).

f(5)=|5|5f(5)=55f(5)=1

Plug the value x=x2, in the function f(x)=|x|x then we get the value of f(x2).

f(x2)=|x2|x2f(x2)=x2x2f(x2)=1

Plug the value x=1x, in the function f(x)=|x|x then we get the value of f(1x).

f(1x)=|1x|1xf(1x)=1x1xf(1x)=1

Thus, the values of the given function are:

f(2)=1,f(1)=1,f(0)=Undefined,f(5)=1,f(x2)=1,f(1x)=1

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