Consider the function g defined by x < 3 g(x) 3 < x < 5 5 > x x + 4 Is continuous at x = = 3? а. g b. Is g continuous at x = 5? c. Is g continuous on (1,3]? d. Is g continuous on (3, 5)? e. Is g continuous on (6,+)?

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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Consider the function g defined by
x < 3
2
g(x) =
3 <х<5
5 - x
5 > x
x + 4
а.
Is
continuous at x = 3?
b. Is g continuous at x =
5?
c. Is g continuous on (1,3]?
с.
d. Is g continuous on (3, 5)?
e. Is g continuous on (6, +x)?
60
Transcribed Image Text:Consider the function g defined by x < 3 2 g(x) = 3 <х<5 5 - x 5 > x x + 4 а. Is continuous at x = 3? b. Is g continuous at x = 5? c. Is g continuous on (1,3]? с. d. Is g continuous on (3, 5)? e. Is g continuous on (6, +x)? 60
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