3 For the following functions, state each value of æ at which there is a discontinuity. Use the definition of continuity in terms of f(a), lim f(x) and lim f(x) to explain why each stated value of æ corresponds to a discontinuity. zat if æ >0 if a <0 a f(x)= -2x +2 b f(x) = { 22 +2 -2x +1 if æ >1 if a <1 f(x) = { 2? -3x +1 if a<-1 if –10

Calculus: Early Transcendentals
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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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3 For the following functions, state each value of æ at which there is a discontinuity. Use the definition of continuity in
terms of f(a), lim f(x) and lim f(x) to explain why each stated value of æ corresponds to a discontinuity.
zat
if æ >0
if a <0
a f(x)=
-2x +2
b f(x) = { 22 +2
-2x +1
if æ >1
if a <1
f(x) = { 2?
-3x +1
if a<-1
if –1<z<0
if z >0
Transcribed Image Text:3 For the following functions, state each value of æ at which there is a discontinuity. Use the definition of continuity in terms of f(a), lim f(x) and lim f(x) to explain why each stated value of æ corresponds to a discontinuity. zat if æ >0 if a <0 a f(x)= -2x +2 b f(x) = { 22 +2 -2x +1 if æ >1 if a <1 f(x) = { 2? -3x +1 if a<-1 if –1<z<0 if z >0
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