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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Question
![Which type of discontinuity does the function exhibit at x = 3?
-x2+1, -1<х <0
5+
2х,
-4,
0<x<1
4
f(x)
x = 1
3
-2x + 4 1<x<3
2,
3<x<5
+++
-6 -5 -4 -3 -2 -1
23 4 5
t
-2+
-3+
-5-
O Jump discontinuity
o Infinite discontinuity
O None of these because the function is continuous at x = 3
O Removable discontinuity](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F210e7cec-9d7e-4b1d-be14-a7ab2f7fe2b1%2Fdd71a65c-4755-4932-a4df-681705b34dda%2Fstbe3w_processed.png&w=3840&q=75)
Transcribed Image Text:Which type of discontinuity does the function exhibit at x = 3?
-x2+1, -1<х <0
5+
2х,
-4,
0<x<1
4
f(x)
x = 1
3
-2x + 4 1<x<3
2,
3<x<5
+++
-6 -5 -4 -3 -2 -1
23 4 5
t
-2+
-3+
-5-
O Jump discontinuity
o Infinite discontinuity
O None of these because the function is continuous at x = 3
O Removable discontinuity
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