Graph the function 1, x <-1 -1 < x < 0 -x, x = 0 f(x) = 1, 0 < x < 1 x 2 1. -x, 1, Then discuss, in detail, limits, one-sided limits, continuity, and one-sided continuity of f at x =-1,0, and 1. Are any of the dis- continuities removable? Explain.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Graph the function
1,
x <-1
-1 < x < 0
-x,
x = 0
f(x) =
1,
0 < x < 1
x 2 1.
-x,
1,
Then discuss, in detail, limits, one-sided limits, continuity, and
one-sided continuity of f at x =-1,0, and 1. Are any of the dis-
continuities removable? Explain.
Transcribed Image Text:Graph the function 1, x <-1 -1 < x < 0 -x, x = 0 f(x) = 1, 0 < x < 1 x 2 1. -x, 1, Then discuss, in detail, limits, one-sided limits, continuity, and one-sided continuity of f at x =-1,0, and 1. Are any of the dis- continuities removable? Explain.
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