Let :{ f(x) = 2-x², 2, 2x, x < 0, 0≤x≤2 x ≥ 2 (a) Is the function continuous at x = 0? Why or why not? (b) Is the function continuous at x = 2? Why or why not?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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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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Let
>={
f(x) =
2-x²,
2,
2x,
x < 0,
0≤x≤2
x ≥ 2
(a) Is the function continuous at x = 0? Why or why not?
(b) Is the function continuous at x = 2? Why or why not?
Transcribed Image Text:Let >={ f(x) = 2-x², 2, 2x, x < 0, 0≤x≤2 x ≥ 2 (a) Is the function continuous at x = 0? Why or why not? (b) Is the function continuous at x = 2? Why or why not?
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