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Let f (x) = X 5 -4x+10 + if x 2,0, -5 x(x-2) if x = 0 9 if x = 2 if x = -5 (a) Classify all the discontinuity of the function f(x) removable 1. x=0 not a discontinuity 2. x = - -5 infinite essential 3.x = 2 (b) The only removable discontinuity is at x = 0 should redefine f ( 0 To remove this discontinuity, we (c) The only essential discontinuity is at x = a = We know that lim f(x) = x-a- lim_f(x) = x+a+ lim f(x) = x a Remember to write INF for +∞, MINF for -∞ and DNE for "does not exist".

Let f (x) = X 5 -4x+10 + if x 2,0, -5 x(x-2) if x = 0 9 if x = 2 if x = -5 (a) Classify all the discontinuity of the function f(x) removable 1. x=0 not a discontinuity 2. x = - -5 infinite essential 3.x = 2 (b) The only removable discontinuity is at x = 0 should redefine f ( 0 To remove this discontinuity, we (c) The only essential discontinuity is at x = a = We know that lim f(x) = x-a- lim_f(x) = x+a+ lim f(x) = x a Remember to write INF for +∞, MINF for -∞ and DNE for "does not exist".

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 52E
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5 -4x+10 + if x 2,0, -5 x(x-2) if x = 0 if x = 2 if x = -5 X Let f (x)=-4 6 (a) Classify all the discontinuity of the function f(x) removable 1. x = 0 not a discontinuity 2. x = -5 infinite essential 3. x = 2 (b) The only removable discontinuity is at x = 0 should redefine f ( 0 = (c) The only essential discontinuity is at x = a = To remove this discontinuity, we We know that lim f(x) = x-a- lim f(x) = x→a+ lim f(x) = x a Remember to write INF for +∞, MINF for -∞ and DNE for "does not exist".
Transcribed Image Text:5 -4x+10 + if x 2,0, -5 x(x-2) if x = 0 if x = 2 if x = -5 X Let f (x)=-4 6 (a) Classify all the discontinuity of the function f(x) removable 1. x = 0 not a discontinuity 2. x = -5 infinite essential 3. x = 2 (b) The only removable discontinuity is at x = 0 should redefine f ( 0 = (c) The only essential discontinuity is at x = a = To remove this discontinuity, we We know that lim f(x) = x-a- lim f(x) = x→a+ lim f(x) = x a Remember to write INF for +∞, MINF for -∞ and DNE for "does not exist".
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