10 -9 he function f (x) -8 -7 -6 -5 5 4 3 92 -4 -3 -2 -1 1 -1 -2 -3- -4 -5+ 2 3 O 5 67 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 f(x) has jump discontinuity at f(x) has a removable discontinuity at

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...
icon
Related questions
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
Transcribed Image Text: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).

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning