   Chapter 2, Problem 8RCC ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# (a) Give examples of functions that a:e continuous on [ –1, 1].(b) Give an example of a function that is not continuous on [0, 1]

(a)

To determine

To provide: The functions that are continuous on [-1, 1]

Explanation

Example: Let the function f(x)=1x2

Let f(x)=0 then 1x2=0

Squaring on both sides

(1x2)2=02       1x2=0            x2=1           x=±1

The roots of the polynomial are x=1,1[1,1] and it satisfies the equation f(x)=0

(b)

To determine

To provide: The functions that is not continuous on [0, 1]

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