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A function f is said to have a removable discontinuity at x = c if limf (x) exists but f is not continuous at x = c, either because f 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) = This discontinuity is 2+4x (b)f(x) = x+4 This discontinuity is (c)f(x) = x| - 8

A function f is said to have a removable discontinuity at x = c if limf (x) exists but f is not continuous at x = c, either because f 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) = This discontinuity is 2+4x (b)f(x) = x+4 This discontinuity is (c)f(x) = x| - 8

College Algebra
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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the 2nd pic is the continuation.
A function f is said to have a removable discontinuity at x = c if limf(x) exists but f is not continuous at x = c, either because f 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. If f is continuous for all values of x, enter NA. (a)f(x) = This discontinuity is 2+ 4x (b)f(x) = x+4 This discontinuity is X - 8 |x| – 8 (c)f(x) =
Transcribed Image Text:A function f is said to have a removable discontinuity at x = c if limf(x) exists but f is not continuous at x = c, either because f 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. If f is continuous for all values of x, enter NA. (a)f(x) = This discontinuity is 2+ 4x (b)f(x) = x+4 This discontinuity is X - 8 |x| – 8 (c)f(x) =
A function f is said to have a removable discontinuity at x = c if limf(x) exists but f is not continuous at x = c, either because f 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. If f is continuous for all values of x, enter NA. (a) f(x) = This discontinuity is 2+ 4x (b)ƒ (x) = x+4 This discontinuity is X- 8 (c)f(x) = Jx| – 8
Transcribed Image Text:A function f is said to have a removable discontinuity at x = c if limf(x) exists but f is not continuous at x = c, either because f 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. If f is continuous for all values of x, enter NA. (a) f(x) = This discontinuity is 2+ 4x (b)ƒ (x) = x+4 This discontinuity is X- 8 (c)f(x) = Jx| – 8
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