# To evaluate f ( x ) = 2 | x − 1 | 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 25E
To determine

## To evaluate f(x)=2|x−1| at a number, we substitute the number for x in the definition of f(x)

Expert Solution

The values of the given function are:

f(2)=6,f(0)=2,f(12)=1,f(2)=2,f(x+1)=2|x|,f(x2+2)=2|x2+1|

### Explanation of Solution

Given information: consider the function f(x)=2|x1|

Calculation:

Evaluate the values of the function f(x)=2|x1| for the given values of the variable x

Plug the value x=2, in the function f(x)=2|x1| then we get the value of f(2).

f(2)=2|21|f(2)=2|3|f(2)=2(3)f(2)=6

Plug the value x=0, in the function f(x)=2|x1| then we get the value of f(0).

f(0)=2|01|f(0)=2|1|f(0)=2(1)f(0)=2

Plug the value x=12, in the function f(x)=2|x1| then we get the value of f(12).

f(12)=2|121|f(12)=2|12|f(12)=2(12)f(12)=1

Plug the value x=2, in the function f(x)=2|x1| then we get the value of f(2).

f(2)=2|21|f(2)=2|1|f(2)=2

Plug the value x=x+1, in the function f(x)=2|x1| then we get the value of f(x+1).

f(x+1)=2|x+11|f(x+1)=2|x|

Plug the value x=x2+2, in the function f(x)=2|x1| then we get the value of f(x2+2).

f(x2+2)=2|x2+21|f(x2+2)=2|x2+1|

Thus, the values of the given function are:

f(2)=6,f(0)=2,f(12)=1,f(2)=2,f(x+1)=2|x|,f(x2+2)=2|x2+1|

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