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A function f(x) is continuous at an x value of aif and only if the following three conditions are satisfied: (1) f(a) is a defined real number (2) limf(x) is a defined real number (3) f(a) = limx→af (x) A function is discontinuous at an x value of a if it fails to be continuous at an xvalue of a. When x = 1, f(x) is continuous. When x = 1, f(x) is not continuous.

A function f(x) is continuous at an x value of aif and only if the following three conditions are satisfied: (1) f(a) is a defined real number (2) limf(x) is a defined real number (3) f(a) = limx→af (x) A function is discontinuous at an x value of a if it fails to be continuous at an xvalue of a. When x = 1, f(x) is continuous. When x = 1, f(x) is not continuous.

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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-4 cu t 3 N÷ -2 x = -2 -1 3+ 2+ -2 + -3- -4. 2 3 Definition for continuous. 4 x = 4 5 A function f(x) is continuous at an x value of aif and only if the following three conditions are satisfied: (1) f(a) is a defined real number (2) limf(x) is a defined real number = limx→af (x) (3) f(a) = lim A function is discontinuous at an x value of a if it fails to be continuous at an xvalue of a. When x = : 1, f(x) is continuous. When x = 1, f(x) is not continuous.
Transcribed Image Text:-4 cu t 3 N÷ -2 x = -2 -1 3+ 2+ -2 + -3- -4. 2 3 Definition for continuous. 4 x = 4 5 A function f(x) is continuous at an x value of aif and only if the following three conditions are satisfied: (1) f(a) is a defined real number (2) limf(x) is a defined real number = limx→af (x) (3) f(a) = lim A function is discontinuous at an x value of a if it fails to be continuous at an xvalue of a. When x = : 1, f(x) is continuous. When x = 1, f(x) is not continuous.
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