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 29E
To determine

To evaluate f(4),f(32),f(1),f(0),f(25) values use the piecewise function

  f(x)={x2+2x,            if  x1x,                     if 1<x11,                   if  x>1

Expert Solution

Answer to Problem 29E

The required functions of the values are

  f(4)=8,f(32)=34,f(1)=1,f(0)=0,f(25)=1

Explanation of Solution

Given information: consider the piecewise function f(x)={x2+2x,            if  x1x,                     if 1<x11,                   if  x>1

Calculation:

First find the value of f(4),f(32),f(1)

Since the values of x=4<1,x=32<1 and x=1

From the above piecewise function, to be taken as

  f(x)=x2+2x

  f(4)=(4)2+2(4)f(4)=8

  f(32)=(32)2+2(32)f(32)=943f(32)=34

  f(1)=(1)2+2(1)f(1)=1

Find the value of f(0)

Since the value of x=0<1

From the above piecewise function, to be taken as

  f(x)=x

  f(0)=0

Find the value of f(25)

Since the value of x=25>1

From the above piecewise function, to be taken as

  f(x)=1

  f(25)=1

Thus the required function of the values

  f(4)=8,f(32)=34,f(1)=1,f(0)=0,f(25)=1

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