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1) Use the graph of f below to estimate the following: m 0 -1+ % 4 a) lim f(x): x-1 b) lim f(x)= c) lim f(x) d) f(1) = = List all the x-values at which f is not differentiable.

1) Use the graph of f below to estimate the following: m 0 -1+ % 4 a) lim f(x): x-1 b) lim f(x)= c) lim f(x) d) f(1) = = List all the x-values at which f is not differentiable.

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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1) Use the graph of \( f \) below to estimate the following: Graph Description: - The graph is a continuous curve on the x-y plane with some notable features: - The graph rises from the left, reaching a peak around \( x = -2 \). - It then dips down to touch near zero at \( x = 0 \). - A sharp peak occurs at \( x = 2 \) with a value of \( y = 3 \). - There is a discontinuity at \( x = 3 \); the graph jumps from \( y = 0 \) and continues moving upwards. - Open circles indicate that at \( x = 3 \), the function value is not defined at specific points on the graph. Tasks: a) \(\lim_{{x \to 1}} f(x) =\) b) \(\lim_{{x \to 3^+}} f(x) =\) c) \(\lim_{{x \to 3}} f(x) =\) d) \( f(1) =\) List all the \( x \)-values at which \( f \) is not differentiable.
Transcribed Image Text:1) Use the graph of \( f \) below to estimate the following: Graph Description: - The graph is a continuous curve on the x-y plane with some notable features: - The graph rises from the left, reaching a peak around \( x = -2 \). - It then dips down to touch near zero at \( x = 0 \). - A sharp peak occurs at \( x = 2 \) with a value of \( y = 3 \). - There is a discontinuity at \( x = 3 \); the graph jumps from \( y = 0 \) and continues moving upwards. - Open circles indicate that at \( x = 3 \), the function value is not defined at specific points on the graph. Tasks: a) \(\lim_{{x \to 1}} f(x) =\) b) \(\lim_{{x \to 3^+}} f(x) =\) c) \(\lim_{{x \to 3}} f(x) =\) d) \( f(1) =\) List all the \( x \)-values at which \( f \) is not differentiable.
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