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 2.1, 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   x0  

Expert Solution

Answer to Problem 27E

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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