# To evaluate f ( − 2 ) , f ( − 1 ) , f ( 0 ) , f ( 1 ) , f ( 2 ) valuesby using the piecewise function f ( x ) = { x 2 , if x &lt; 0 x + 1 , if x ≥ 0

### 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 27E
To determine

## To evaluate f(−2),f(−1),f(0),f(1),f(2) valuesby using the piecewise function f(x)={x2,            if  x<0x+1,         if   x≥0

Expert Solution

The required functions of the values are f(2)=4,f(1)=1,f(0)=1,f(1)=2,f(2)=3

### Explanation of Solution

Given information:consider the piecewise function f(x)={x2,            if  x<0x+1,         if   x0

Calculation:

First find the value of f(2),f(1)

Since the valuesof x=2<0 and x=1<0

From the above piecewise function,to be taken as

f(x)=x2

f(2)=(2)2f(2)=4

And,

f(1)=(1)2f(1)=1

Find the values of f(0),f(1),f(2)

Since the values of x=0,x=1>0 and x=2>0

f(x)=x+1

f(0)=0+1f(0)=1

And,

f(1)=1+1f(1)=2

Also,

f(2)=2+1f(2)=3

Thus the required function of the values f(2)=4,f(1)=1,f(0)=1,f(1)=2,f(2)=3

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