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Given the piecewise function f(x) = = Why is f not differentiable at x = 0? f is discontinuous at x = 0 f has a vertical tangent line at x = 0 f is continuous at x = 0 f has no tangent line at x = = 0 0 5 1 5-x X x < 0 0 < x < 4. x>4

Given the piecewise function f(x) = = Why is f not differentiable at x = 0? f is discontinuous at x = 0 f has a vertical tangent line at x = 0 f is continuous at x = 0 f has no tangent line at x = = 0 0 5 1 5-x X x < 0 0 < x < 4. x>4

Calculus: Early Transcendentals
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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Given the piecewise function f(x) = Why is f not differentiable at x = 0? Of is discontinuous at x = 0 Of has a vertical tangent line at x = 0 Of is continuous at x = 0 Of has no tangent line at x = 0 0 5-x _1 5-x x ≤0 0 < x < 4. x>4
Transcribed Image Text:Given the piecewise function f(x) = Why is f not differentiable at x = 0? Of is discontinuous at x = 0 Of has a vertical tangent line at x = 0 Of is continuous at x = 0 Of has no tangent line at x = 0 0 5-x _1 5-x x ≤0 0 < x < 4. x>4
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