Given 2+1 if r<-1 f(z) = { [z – 1] 1² – 4x if -11 4 -I (a) Find all possible points of discontinuity. (b) Discuss the continuity of f at the points obtained in item (a).

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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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1. Given
2+1
if r<-1
[z – 1]
22 – 4x
if -1<r<1
f(x) =
if r>1
4 - r
(a) Find all possible points of discontinuity.
(b) Discuss the continuity of f at the points obtained in item (a).
(c) Is ƒ continuous on the interval [0, 2]? Justify your answer.
Transcribed Image Text:1. Given 2+1 if r<-1 [z – 1] 22 – 4x if -1<r<1 f(x) = if r>1 4 - r (a) Find all possible points of discontinuity. (b) Discuss the continuity of f at the points obtained in item (a). (c) Is ƒ continuous on the interval [0, 2]? Justify your answer.
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