Explanation Given information: The given function is f ( x ) = { x 2 − 2 if x > 1 2 x − 3 if x ≤ 1 ........... ( 1 ) Calculation: Since given function has two branches which are polynomial in x , therefore the function is continuous every where and the only point where it is breakable is at x = 1 . So, the suspicious point is x = 1 and checking continuity at point x = 1 , from (1) gives, lim x → 1 − { f ( x ) } = lim x → 1 − ( 2 x − 3 ) = ( 2 ( 1 ) − 3 ) = − 1 .....

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

6th Edition

ISBN: 9781524908102

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Question

Chapter 2.3, Problem 15PS

To determine

Tofind:All the points of discontinuity for the function

f(x)={x2−2 if x>12x−3 if x≤1

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Chapter 2.3, Problem 14PS

Chapter 2.3, Problem 16PS

Chapter 2 Solutions

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

Ch. 2.1 - Prob. 1PS Ch. 2.1 - Prob. 2PS Ch. 2.1 - Prob. 3PS Ch. 2.1 - Prob. 4PS Ch. 2.1 - Prob. 5PS Ch. 2.1 - Prob. 6PS Ch. 2.1 - Prob. 7PS Ch. 2.1 - Prob. 8PS Ch. 2.1 - Prob. 9PS Ch. 2.1 - Prob. 10PS

Ch. 2.1 - Prob. 11PS Ch. 2.1 - Prob. 12PS Ch. 2.1 - Prob. 13PS Ch. 2.1 - Prob. 14PS Ch. 2.1 - Prob. 15PS Ch. 2.1 - Prob. 16PS Ch. 2.1 - Prob. 17PS Ch. 2.1 - Prob. 18PS Ch. 2.1 - Prob. 19PS Ch. 2.1 - Prob. 20PS Ch. 2.1 - Prob. 21PS Ch. 2.1 - Prob. 22PS Ch. 2.1 - Prob. 23PS Ch. 2.1 - Prob. 24PS Ch. 2.1 - Prob. 25PS Ch. 2.1 - Prob. 26PS Ch. 2.1 - Prob. 27PS Ch. 2.1 - Prob. 28PS Ch. 2.1 - Prob. 29PS Ch. 2.1 - Prob. 30PS Ch. 2.1 - Prob. 31PS Ch. 2.1 - Prob. 32PS Ch. 2.1 - Prob. 33PS Ch. 2.1 - Prob. 34PS Ch. 2.1 - Prob. 35PS Ch. 2.1 - Prob. 36PS Ch. 2.1 - Prob. 37PS Ch. 2.1 - Prob. 38PS Ch. 2.1 - Prob. 39PS Ch. 2.1 - Prob. 40PS Ch. 2.1 - Prob. 41PS Ch. 2.1 - Prob. 42PS Ch. 2.1 - Prob. 43PS Ch. 2.1 - Prob. 44PS Ch. 2.1 - Prob. 45PS Ch. 2.1 - Prob. 46PS Ch. 2.1 - Prob. 47PS Ch. 2.1 - Prob. 48PS Ch. 2.1 - Prob. 49PS Ch. 2.1 - Prob. 50PS Ch. 2.1 - Prob. 51PS Ch. 2.1 - Prob. 52PS Ch. 2.1 - Prob. 53PS Ch. 2.1 - Prob. 54PS Ch. 2.1 - Prob. 55PS Ch. 2.1 - Prob. 56PS Ch. 2.1 - Prob. 57PS Ch. 2.1 - Prob. 58PS Ch. 2.1 - Prob. 59PS Ch. 2.1 - Prob. 60PS Ch. 2.2 - Prob. 1PS Ch. 2.2 - Prob. 2PS Ch. 2.2 - Prob. 3PS Ch. 2.2 - Prob. 4PS Ch. 2.2 - Prob. 5PS Ch. 2.2 - Prob. 6PS Ch. 2.2 - Prob. 7PS Ch. 2.2 - Prob. 8PS Ch. 2.2 - Prob. 9PS Ch. 2.2 - Prob. 10PS Ch. 2.2 - Prob. 11PS Ch. 2.2 - Prob. 12PS Ch. 2.2 - Prob. 13PS Ch. 2.2 - Prob. 14PS Ch. 2.2 - Prob. 15PS Ch. 2.2 - Prob. 16PS Ch. 2.2 - Prob. 17PS Ch. 2.2 - Prob. 18PS Ch. 2.2 - Prob. 19PS Ch. 2.2 - Prob. 20PS Ch. 2.2 - Prob. 21PS Ch. 2.2 - Prob. 22PS Ch. 2.2 - Prob. 23PS Ch. 2.2 - Prob. 24PS Ch. 2.2 - Prob. 25PS Ch. 2.2 - Prob. 26PS Ch. 2.2 - Prob. 27PS Ch. 2.2 - Prob. 28PS Ch. 2.2 - Prob. 29PS Ch. 2.2 - Prob. 30PS Ch. 2.2 - Prob. 31PS Ch. 2.2 - Prob. 32PS Ch. 2.2 - Prob. 33PS Ch. 2.2 - Prob. 34PS Ch. 2.2 - Prob. 35PS Ch. 2.2 - Prob. 36PS Ch. 2.2 - Prob. 37PS Ch. 2.2 - Prob. 38PS Ch. 2.2 - Prob. 39PS Ch. 2.2 - Prob. 40PS Ch. 2.2 - Prob. 41PS Ch. 2.2 - Prob. 42PS Ch. 2.2 - Prob. 43PS Ch. 2.2 - Prob. 44PS Ch. 2.2 - Prob. 45PS Ch. 2.2 - Prob. 46PS Ch. 2.2 - Prob. 47PS Ch. 2.2 - Prob. 48PS Ch. 2.2 - Prob. 49PS Ch. 2.2 - Prob. 50PS Ch. 2.2 - Prob. 51PS Ch. 2.2 - Prob. 52PS Ch. 2.2 - Prob. 53PS Ch. 2.2 - Prob. 54PS Ch. 2.2 - Prob. 55PS Ch. 2.2 - Prob. 56PS Ch. 2.2 - Prob. 57PS Ch. 2.2 - Prob. 58PS Ch. 2.2 - Prob. 59PS Ch. 2.2 - Prob. 60PS Ch. 2.3 - Prob. 1PS Ch. 2.3 - Prob. 2PS Ch. 2.3 - Prob. 3PS Ch. 2.3 - Prob. 4PS Ch. 2.3 - Prob. 5PS Ch. 2.3 - Prob. 6PS Ch. 2.3 - Prob. 7PS Ch. 2.3 - Prob. 8PS Ch. 2.3 - Prob. 9PS Ch. 2.3 - Prob. 10PS Ch. 2.3 - Prob. 11PS Ch. 2.3 - Prob. 12PS Ch. 2.3 - Prob. 13PS Ch. 2.3 - Prob. 14PS Ch. 2.3 - Prob. 15PS Ch. 2.3 - Prob. 16PS Ch. 2.3 - Prob. 17PS Ch. 2.3 - Prob. 18PS Ch. 2.3 - Prob. 19PS Ch. 2.3 - Prob. 20PS Ch. 2.3 - Prob. 21PS Ch. 2.3 - Prob. 22PS Ch. 2.3 - Prob. 23PS Ch. 2.3 - Prob. 24PS Ch. 2.3 - Prob. 25PS Ch. 2.3 - Prob. 26PS Ch. 2.3 - Prob. 27PS Ch. 2.3 - Prob. 28PS Ch. 2.3 - Prob. 29PS Ch. 2.3 - Prob. 30PS Ch. 2.3 - Prob. 31PS Ch. 2.3 - Prob. 32PS Ch. 2.3 - Prob. 33PS Ch. 2.3 - Prob. 34PS Ch. 2.3 - Prob. 35PS Ch. 2.3 - Prob. 36PS Ch. 2.3 - Prob. 37PS Ch. 2.3 - Prob. 38PS Ch. 2.3 - Prob. 39PS Ch. 2.3 - Prob. 40PS Ch. 2.3 - Prob. 41PS Ch. 2.3 - Prob. 42PS Ch. 2.3 - Prob. 43PS Ch. 2.3 - Prob. 44PS Ch. 2.3 - Prob. 45PS Ch. 2.3 - Prob. 46PS Ch. 2.3 - Prob. 47PS Ch. 2.3 - Prob. 48PS Ch. 2.3 - Prob. 49PS Ch. 2.3 - Prob. 50PS Ch. 2.3 - Prob. 51PS Ch. 2.3 - Prob. 52PS Ch. 2.3 - Prob. 53PS Ch. 2.3 - Prob. 54PS Ch. 2.3 - Prob. 56PS Ch. 2.3 - Prob. 57PS Ch. 2.3 - Prob. 58PS Ch. 2.3 - Prob. 59PS Ch. 2.3 - Prob. 60PS Ch. 2.4 - Prob. 1PS Ch. 2.4 - Prob. 2PS Ch. 2.4 - Prob. 3PS Ch. 2.4 - Prob. 4PS Ch. 2.4 - Prob. 5PS Ch. 2.4 - Prob. 6PS Ch. 2.4 - Prob. 7PS Ch. 2.4 - Prob. 8PS Ch. 2.4 - Prob. 9PS Ch. 2.4 - Prob. 10PS Ch. 2.4 - Prob. 11PS Ch. 2.4 - Prob. 12PS Ch. 2.4 - Prob. 13PS Ch. 2.4 - Prob. 14PS Ch. 2.4 - Prob. 15PS Ch. 2.4 - Prob. 16PS Ch. 2.4 - Prob. 17PS Ch. 2.4 - Prob. 18PS Ch. 2.4 - Prob. 19PS Ch. 2.4 - Prob. 20PS Ch. 2.4 - Prob. 21PS Ch. 2.4 - Prob. 22PS Ch. 2.4 - Prob. 23PS Ch. 2.4 - Prob. 24PS Ch. 2.4 - Prob. 25PS Ch. 2.4 - Prob. 26PS Ch. 2.4 - Prob. 27PS Ch. 2.4 - Prob. 28PS Ch. 2.4 - Prob. 29PS Ch. 2.4 - Prob. 30PS Ch. 2.4 - Prob. 31PS Ch. 2.4 - Prob. 32PS Ch. 2.4 - Prob. 33PS Ch. 2.4 - Prob. 34PS Ch. 2.4 - Prob. 35PS Ch. 2.4 - Prob. 36PS Ch. 2.4 - Prob. 37PS Ch. 2.4 - Prob. 38PS Ch. 2.4 - Prob. 39PS Ch. 2.4 - Prob. 40PS Ch. 2.4 - Prob. 41PS Ch. 2.4 - Prob. 42PS Ch. 2.4 - Prob. 43PS Ch. 2.4 - Prob. 44PS Ch. 2.4 - Prob. 45PS Ch. 2.4 - Prob. 46PS Ch. 2.4 - Prob. 47PS Ch. 2.4 - Prob. 48PS Ch. 2.4 - Prob. 49PS Ch. 2.4 - Prob. 50PS Ch. 2.4 - Prob. 51PS Ch. 2.4 - Prob. 52PS Ch. 2.4 - Prob. 53PS Ch. 2.4 - Prob. 54PS Ch. 2.4 - Prob. 55PS Ch. 2.4 - Prob. 56PS Ch. 2.4 - Prob. 57PS Ch. 2.4 - Prob. 58PS Ch. 2.4 - Prob. 59PS Ch. 2.4 - Prob. 60PS Ch. 2 - Prob. 1PE Ch. 2 - Prob. 2PE Ch. 2 - Prob. 3PE Ch. 2 - Prob. 4PE Ch. 2 - Prob. 5PE Ch. 2 - Prob. 6PE Ch. 2 - Prob. 7PE Ch. 2 - Prob. 8PE Ch. 2 - Prob. 9PE Ch. 2 - Prob. 10PE Ch. 2 - Prob. 11PE Ch. 2 - Prob. 12PE Ch. 2 - Prob. 13PE Ch. 2 - Prob. 14PE Ch. 2 - Prob. 15PE Ch. 2 - Prob. 16PE Ch. 2 - Prob. 17PE Ch. 2 - Prob. 18PE Ch. 2 - Prob. 19PE Ch. 2 - Prob. 20PE Ch. 2 - Prob. 21PE Ch. 2 - Prob. 22PE Ch. 2 - Prob. 23PE Ch. 2 - Prob. 24PE Ch. 2 - Prob. 25PE Ch. 2 - Prob. 26PE Ch. 2 - Prob. 27PE Ch. 2 - Prob. 28PE Ch. 2 - Prob. 29PE Ch. 2 - Prob. 30PE Ch. 2 - Prob. 1SP Ch. 2 - Prob. 2SP Ch. 2 - Prob. 3SP Ch. 2 - Prob. 4SP Ch. 2 - Prob. 5SP Ch. 2 - Prob. 6SP Ch. 2 - Prob. 7SP Ch. 2 - Prob. 8SP Ch. 2 - Prob. 9SP Ch. 2 - Prob. 10SP Ch. 2 - Prob. 11SP Ch. 2 - Prob. 12SP Ch. 2 - Prob. 13SP Ch. 2 - Prob. 14SP Ch. 2 - Prob. 15SP Ch. 2 - Prob. 16SP Ch. 2 - Prob. 17SP Ch. 2 - Prob. 18SP Ch. 2 - Prob. 19SP Ch. 2 - Prob. 20SP Ch. 2 - Prob. 21SP Ch. 2 - Prob. 22SP Ch. 2 - Prob. 23SP Ch. 2 - Prob. 24SP Ch. 2 - Prob. 25SP Ch. 2 - Prob. 26SP Ch. 2 - Prob. 27SP Ch. 2 - Prob. 28SP Ch. 2 - Prob. 29SP Ch. 2 - Prob. 30SP Ch. 2 - Prob. 31SP Ch. 2 - Prob. 32SP Ch. 2 - Prob. 33SP Ch. 2 - Prob. 34SP Ch. 2 - Prob. 35SP Ch. 2 - Prob. 36SP Ch. 2 - Prob. 37SP Ch. 2 - Prob. 38SP Ch. 2 - Prob. 39SP Ch. 2 - Prob. 40SP Ch. 2 - Prob. 41SP Ch. 2 - Prob. 42SP Ch. 2 - Prob. 43SP Ch. 2 - Prob. 44SP Ch. 2 - Prob. 45SP Ch. 2 - Prob. 46SP Ch. 2 - Prob. 47SP Ch. 2 - Prob. 48SP Ch. 2 - Prob. 49SP Ch. 2 - Prob. 50SP Ch. 2 - Prob. 51SP Ch. 2 - Prob. 52SP Ch. 2 - Prob. 53SP Ch. 2 - Prob. 54SP Ch. 2 - Prob. 55SP Ch. 2 - Prob. 56SP Ch. 2 - Prob. 57SP Ch. 2 - Prob. 58SP Ch. 2 - Prob. 59SP Ch. 2 - Prob. 60SP Ch. 2 - Prob. 61SP Ch. 2 - Prob. 62SP Ch. 2 - Prob. 63SP Ch. 2 - Prob. 64SP Ch. 2 - Prob. 65SP Ch. 2 - Prob. 66SP Ch. 2 - Prob. 67SP Ch. 2 - Prob. 68SP Ch. 2 - Prob. 69SP Ch. 2 - Prob. 70SP Ch. 2 - Prob. 71SP Ch. 2 - Prob. 72SP Ch. 2 - Prob. 73SP Ch. 2 - Prob. 74SP Ch. 2 - Prob. 75SP Ch. 2 - Prob. 76SP Ch. 2 - Prob. 77SP Ch. 2 - Prob. 78SP Ch. 2 - Prob. 79SP Ch. 2 - Prob. 80SP Ch. 2 - Prob. 81SP Ch. 2 - Prob. 82SP Ch. 2 - Prob. 83SP Ch. 2 - Prob. 84SP Ch. 2 - Prob. 85SP Ch. 2 - Prob. 86SP Ch. 2 - Prob. 87SP Ch. 2 - Prob. 88SP Ch. 2 - Prob. 89SP Ch. 2 - Prob. 90SP Ch. 2 - Prob. 91SP Ch. 2 - Prob. 92SP Ch. 2 - Prob. 93SP Ch. 2 - Prob. 94SP Ch. 2 - Prob. 95SP Ch. 2 - Prob. 96SP Ch. 2 - Prob. 97SP Ch. 2 - Prob. 98SP Ch. 2 - Prob. 99SP

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Intro to the Laplace Transform & Three Examples; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=KqokoYr_h1A;License: Standard YouTube License, CC-BY

Tofind: All the points of discontinuity for the function f ( x ) = { x 2 − 2 if x > 1 2 x − 3 if x ≤ 1

Solution Summary: The author calculates that the given function is continuous for all xin R and the only point where it is breakable is at

Videos

Tofind:All the points of discontinuity for the function

f(x)={x2−2 if x>12x−3 if x≤1

Want to see the full answer?

Chapter 2 Solutions

Tofind: All the points of discontinuity for the function f ( x ) = { x 2 − 2 if x &gt; 1 2 x − 3 if x ≤ 1

Solution Summary: The author calculates that the given function is continuous for all xin R and the only point where it is breakable is at

Videos

Tofind:All the points of discontinuity for the function f(x)={x2−2 if x>12x−3 if x≤1

Want to see the full answer?

Chapter 2 Solutions

Tofind: All the points of discontinuity for the function f ( x ) = { x 2 − 2 if x > 1 2 x − 3 if x ≤ 1

Tofind:All the points of discontinuity for the function

f(x)={x2−2 if x>12x−3 if x≤1