A function f(x) is said to have a jump discontinuity at x = a if:1. lim f(x) exists.2. lim f(x) exists.x→a+3. The left and right limits are not equal."За — 1,if x < 8Let f(x) =5x+9 ,if x > 8Show that f(x) has a jump discontinuity at a == 8.:8 by calculating the limits from theleft and right at x =lim f(x) =| 23x→8-lim f(x) =x→8+Now, for fun, try to graph f(x).

Answered: Image /qna-images/answer/fdd1e507-0854-480e-b593-3c16bb3eeab9.jpg

3x – 1, if x < 8 if x > 8 | Let f(x) = { 5 x+9 Show that f(x) has a jump discontinuity at x = 8 by calculating the limits from the %3D left and right at x = = 8. lim f(x) =| 23 x8- lim f(x) = x→8+

3x – 1, if x < 8 if x > 8 | Let f(x) = { 5 x+9 Show that f(x) has a jump discontinuity at x = 8 by calculating the limits from the %3D left and right at x = = 8. lim f(x) =| 23 x8- lim f(x) = x→8+

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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Question

A function f(x) is said to have a jump discontinuity at x = a if:
1. lim f(x) exists.
2. lim f(x) exists.
x→a+
3. The left and right limits are not equal.
"За — 1,
if x < 8
Let f(x) =
5
x+9 ,
if x > 8
Show that f(x) has a jump discontinuity at a =
= 8.
:8 by calculating the limits from the
left and right at x =
lim f(x) =| 23
x→8-
lim f(x) =
x→8+
Now, for fun, try to graph f(x).

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