A function f(x) is said to have a removable discontinuity at x = a if: 1. f is either not defined or not continuous at x = a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x = a. 2x² + 6x-8 Let f(x) = 2-1 Show that f(x) has a removable discontinuity at x = 1 and determine what value for f(1) would make f(x) continuous at a = 1. Must define f(1)
A function f(x) is said to have a removable discontinuity at x = a if: 1. f is either not defined or not continuous at x = a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x = a. 2x² + 6x-8 Let f(x) = 2-1 Show that f(x) has a removable discontinuity at x = 1 and determine what value for f(1) would make f(x) continuous at a = 1. Must define f(1)
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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Transcribed Image Text:A function f(x) is said to have a removable discontinuity at x = a if:
1. f is either not defined or not continuous at x = a.
2. f(a) could either be defined or redefined so that the new function IS continuous at x = a.
2x² + 6x-8
Let f(x) =
2-1
Show that f(x) has a removable discontinuity at x = 1 and determine what value for f(1) would make
f(x) continuous at a = 1.
Must define f(1)
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