A functionf is said to have a removable discontinuity atx = c if limf(x) exists butf is not continuous at x = c, either becausef is not defined at c or because the definition for f(c) differs from the value of the limit. Find the values of x (if any) at which f is not continuous, and determine whether each such value is a removable discontinuity. Iff is continuous for all values of x, enter NA. (a) f(x) = X = This discontinuity is x² + 4x (b)f(x) : X + 4 X = This discontinuity is x - 5 |x| – 5 (c)f(x) = Enter your answers in increasing order. X = This discontinuity is X = This discontinuity is

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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A functionf is said to have a removable discontinuity atx = c if limf(x) exists butf is not continuous at x = c, either becausef is not
defined at c or because the definition for f(c) differs from the value of the limit.
Find the values of x (if any) at which f is not continuous, and determine whether each such value is a removable discontinuity.
Iff is continuous for all values of x, enter NA.
(a) f(x) =
X =
This discontinuity is
x² + 4x
(b)f(x) :
X + 4
X =
This discontinuity is
x - 5
|x| – 5
(c)f(x) =
Enter your answers in increasing order.
X =
This discontinuity is
X =
This discontinuity is
Transcribed Image Text:A functionf is said to have a removable discontinuity atx = c if limf(x) exists butf is not continuous at x = c, either becausef is not defined at c or because the definition for f(c) differs from the value of the limit. Find the values of x (if any) at which f is not continuous, and determine whether each such value is a removable discontinuity. Iff is continuous for all values of x, enter NA. (a) f(x) = X = This discontinuity is x² + 4x (b)f(x) : X + 4 X = This discontinuity is x - 5 |x| – 5 (c)f(x) = Enter your answers in increasing order. X = This discontinuity is X = This discontinuity is
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