A function f(1) is said to have a jump discontinuity at z= a if. 1. lim f(r) exists. 2. lim f(z) exists. 3. The left and right limits are not equal. Let f(z) = 15 (7z - 6, if z<7 if z 27 Show that f(z) has a jump discontinuity at = 7 by calculating the limits from the left and right at r= 7. lim f(1) = lim f(z) Now, for fun, try to graph f(x).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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A function f(r) is said to have a jump discontinuity at z= a if.
1. lim f(r) exists.
2. lim f(z) exists.
エat
3. The left and right limits are not equal.
Let f(z) =
(7z-6, if z<7
if z 27
Show that f(1) has a jump discontinuity at z= 7 by calculating the limits from the left and right at r = 7.
lim f(1) =
lim f(1)=
zラ74
Now, for fun, try to graph f(r).
Transcribed Image Text:A function f(r) is said to have a jump discontinuity at z= a if. 1. lim f(r) exists. 2. lim f(z) exists. エat 3. The left and right limits are not equal. Let f(z) = (7z-6, if z<7 if z 27 Show that f(1) has a jump discontinuity at z= 7 by calculating the limits from the left and right at r = 7. lim f(1) = lim f(1)= zラ74 Now, for fun, try to graph f(r).
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