# To evaluate f ( − 2 ) , f ( − 1 ) , f ( 0 ) , f ( 1 ) , f ( 2 ) valuesby using the piecewise function f ( x ) = { 5 , if x ≤ 2 2 x − 3 , if x &gt; 2

### 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 28E
To determine

## To evaluate f(−2),f(−1),f(0),f(1),f(2) valuesby using the piecewise function f(x)={5,                 if  x≤22x−3,         if   x>2

Expert Solution

The required functions of the values are f(3)=f(0)=f(2)=5,f(3)=3,f(5)=7

### Explanation of Solution

Given information:consider the piecewise function f(x)={5,                 if  x22x3,         if   x>2

Calculation:

First find the values of f(3),f(0),f(2)

Since the values of x=3<2,x=0<2,x=2

From the above piecewise function,to be taken as

f(x)=5

f(3)=5

f(0)=5

f(2)=5

Find the values of f(3),f(5)

Since the values of x=3>2,x=5>2. and x=5>0

f(x)=2x3

f(3)=2(3)3f(3)=3

f(5)=2(5)3f(5)=7

Thus, the required function of the values f(3)=f(0)=f(2)=5,f(3)=3,f(5)=7

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