9. x², Let f(x)=sin(x), x < 0 0≤x<π/2 x-π/2, x≥π/2 (a) Graph f. Your graph should be accurate with appropriate tick marks. (b) Is f continuous at x = 0? Explain your answer using limit notation. (c) Is f continuous at x = π/2? Explain your answer using limit notation.

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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9.
(x²,
sin(x),
x < 0
0≤x≤ π/2
x-π/2,
x≥π/2
(a) Graph f. Your graph should be accurate with appropriate tick marks.
Let f(x) =
(b) Is f continuous at x = 0? Explain your answer using limit notation.
(c) Is f continuous at x = π/2? Explain your answer using limit notation.
Transcribed Image Text:9. (x², sin(x), x < 0 0≤x≤ π/2 x-π/2, x≥π/2 (a) Graph f. Your graph should be accurate with appropriate tick marks. Let f(x) = (b) Is f continuous at x = 0? Explain your answer using limit notation. (c) Is f continuous at x = π/2? Explain your answer using limit notation.
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