A function f has a removable discontinuity at x = c if limf(x) exists by f is not continuous at x = c, either because f is not defined at cor because the definition for f(c) differs from the value of the limit. A removable discontinuity at x = c can be "removed" by redefining the value of f at x = c. Find the values of x at which x - 2 f(x) = |x| – 2 is not continuous, and determine whether each value is a removable discontinuity. Give numeric answers in ascending order. X1 = is discontinuity. X2 = is discontinuity.

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 has a removable discontinuity at x = c if limf(x) exists by f is not continuous at x = c, either because fis not defined at c or
because the definition for f(c) differs from the value of the limit. A removable discontinuity at x = c can be "removed" by redefining the
value of f at x = c.
Find the values of x at which
x - 2
f(x) =
|x| – 2
is not continuous, and determine whether each value is a removable discontinuity.
Give numeric answers in ascending order.
X1 =
i
is
v discontinuity.
X2 =
i
is
discontinuity.
Transcribed Image Text:A function f has a removable discontinuity at x = c if limf(x) exists by f is not continuous at x = c, either because fis not defined at c or because the definition for f(c) differs from the value of the limit. A removable discontinuity at x = c can be "removed" by redefining the value of f at x = c. Find the values of x at which x - 2 f(x) = |x| – 2 is not continuous, and determine whether each value is a removable discontinuity. Give numeric answers in ascending order. X1 = i is v discontinuity. X2 = i is discontinuity.
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