Explain why the function is discontinuous at the given number a. (Select all that apply.) x + 5 2x f(x) = if x ≤ -1 if x > -1 Of(-1) and lim f(x) are finite, but are not equal. x-1 f(-1) is undefined. Olim f(x) does not exist. X→-1 lim f(x) and lim x-1+ x→−1¯ Onone of the above a = -1 f(x) are finite, but are not equal.

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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Explain why the function is discontinuous at the given number a. (Select all that apply.)
F(x) = {12/2+3
2x
X 5
Of(-1) is undefined.
if x < -1
if x > -1
f(-1) and lim f(x) are finite, but are not equal.
x-1
lim f(x) does not exist.
x-1
a = -1
lim
X→-1+
none of the above
f(x) and lim f(x) are finite, but are not equal.
x→−1¯
Transcribed Image Text:Explain why the function is discontinuous at the given number a. (Select all that apply.) F(x) = {12/2+3 2x X 5 Of(-1) is undefined. if x < -1 if x > -1 f(-1) and lim f(x) are finite, but are not equal. x-1 lim f(x) does not exist. x-1 a = -1 lim X→-1+ none of the above f(x) and lim f(x) are finite, but are not equal. x→−1¯
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