A function f is said to have a removable discontinuity at a if: 1. f is either not defined or not continuous at a. 2. f(a) could either be defined or redefined so that the new function is continuous at a. Let f(x)= 21²+51-18 I-2 Show that f has a removable discontinuity at 2 and determine the value for f(2) that would make f continuous at 2. Need to redefine fƒ(2) = =

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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A function f is said to have a removable discontinuity at a if:
1. f is either not defined or not continuous at a.
2. f(a) could either be defined or redefined so that the new function is continuous at a.
Let f(x) =
21²+51-18
I-2
Show that f has a removable discontinuity at 2 and determine the value for f(2) that would make f continuous at 2.
Need to redefine f(2)
Transcribed Image Text:A function f is said to have a removable discontinuity at a if: 1. f is either not defined or not continuous at a. 2. f(a) could either be defined or redefined so that the new function is continuous at a. Let f(x) = 21²+51-18 I-2 Show that f has a removable discontinuity at 2 and determine the value for f(2) that would make f continuous at 2. Need to redefine f(2)
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