Given the function x < -4 -4 < x < 4 x + 4 f(x) = 16 – x2 x – 4 x >4 (a) Is f continuous at x = -4? Support your answer. (b) Is f continuous at x = 4? Support your answer. (c) Draw a sketch of the graph of f.

Calculus: Early Transcendentals
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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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Given the function
x < -4
-4 < x < 4
x > 4
x + 4
f (x) =
16 — г2
х — 4
-
(a) Is f continuous at x = -4? Support your answer.
(b) Is f continuous at x = 4? Support your answer.
(c) Draw a sketch of the graph of f.
Transcribed Image Text:Given the function x < -4 -4 < x < 4 x > 4 x + 4 f (x) = 16 — г2 х — 4 - (a) Is f continuous at x = -4? Support your answer. (b) Is f continuous at x = 4? Support your answer. (c) Draw a sketch of the graph of f.
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