The graph below is the function f (x)10 -95-43Q2-1-8 -7 -6 -5 -4 -3 -2 -1-1-2f(x) has jump discontinuity atf (x) has a removable discontinuity at-3-4--5+1236+456 78Determine the following values. Enter "DNE" if a value does not exist, enter "oo" (lower case "o") if thelimit approaches positive infinity, or "-oo" if the limit approaches negative infinity.f (x) has an infinity discontinuity at

Answered: 10 -9 he function f (x) -8 -7 -6 -5 5 4…

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

The graph below is the function f (x)
10 -9
5-
4
3
Q2-
1
-8 -7 -6 -5 -4 -3 -2 -1
-1
-2
f(x) has jump discontinuity at
f (x) has a removable discontinuity at
-3
-4-
-5+
1
2
3
6+4
56 78
Determine the following values. Enter "DNE" if a value does not exist, enter "oo" (lower case "o") if the
limit approaches positive infinity, or "-oo" if the limit approaches negative infinity.
f (x) has an infinity discontinuity at

Expert Solution

Step 1: Defination of the different types of discontinuity

Infinite Discontinuity: A function has an infinite discontinuity at a point if the function approaches either positive or negative infinity as you approach that point.

Jump Discontinuity: A function has a jump discontinuity at a point if the function has different finite values from the left and right sides of that point.

Removable Discontinuity: A function has a removable discontinuity at a point if the function can be made continuous at that point by redefining the value at that point (by filling the gap).