A function f(x) is said to have a removable discontinuity at a = a if: 1. f is either not defined or not continuous at a = a. 2. f(a) could either be defined or redefined so that the new function IS continuous at a = a. 2x² + 3x - 44 Let f(x)= = x - 4 Show that f(x) has a removable discontinuity at a = 4 and determine what value for f(4) would make f(x) continuous at a = 4. Must define f(4) =

College Algebra (MindTap Course List)
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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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.
Let f(x)
2x² + 3x - 44
x - 4
Show that f(x) has a removable discontinuity at x = 4 and determine what value for f(4) would
make f(x) continuous at x = 4.
Must define f(4) =
=
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. Let f(x) 2x² + 3x - 44 x - 4 Show that f(x) has a removable discontinuity at x = 4 and determine what value for f(4) would make f(x) continuous at x = 4. Must define f(4) = =
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