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Definition A function f(x) is continuous from the right at a number a if... And f(x) is continuous from the left at a if... Draw a sketch of a function, (a) f(x) is left continuous at x = 1 but not overall continuous at x = 1, (b) g(x) is right continuous at x = 1 but not overall continuous at x = 1. (a) f(x) (b) g(x) -2 -1 3+ 2+ 14 -1+ -2 -1 3 24 1 -14 2

Definition A function f(x) is continuous from the right at a number a if... And f(x) is continuous from the left at a if... Draw a sketch of a function, (a) f(x) is left continuous at x = 1 but not overall continuous at x = 1, (b) g(x) is right continuous at x = 1 but not overall continuous at x = 1. (a) f(x) (b) g(x) -2 -1 3+ 2+ 14 -1+ -2 -1 3 24 1 -14 2

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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The book is called ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS second edition

Definition A function f(x) is continuous from the right at a number a if ... And f(x) is continuous from the left at a if... Draw a sketch of a function, (a) f(x) is left continuous at x = 1 but not overall continuous at x = 1, (b) g(x) is right continuous at x = 1 but not overall continuous at x = 1. (a) f(x) (b) g(x) -2 -1 3+ 2+ 1+ -14 -2 -1 3+ 2+ 14 -1- 2
Transcribed Image Text:Definition A function f(x) is continuous from the right at a number a if ... And f(x) is continuous from the left at a if... Draw a sketch of a function, (a) f(x) is left continuous at x = 1 but not overall continuous at x = 1, (b) g(x) is right continuous at x = 1 but not overall continuous at x = 1. (a) f(x) (b) g(x) -2 -1 3+ 2+ 1+ -14 -2 -1 3+ 2+ 14 -1- 2
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