Explain why the function is discontinuous at the given number a. (Select all that apply.) 1 X + 4 f(x) = a = -4 Of(-4) is undefined. Of(-4) and lim f(x) are finite, but are not equal. X→-4 lim f(x) and lim f(x) are not finite, and are not equal. X→-4+ X→-4- lim f(x) does not exist. x-4 O none of the above

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.)
1
X + 4
=
a = -4
Of(-4) is undefined.
Of(-4) and lim f(x) are finite, but are not equal.
X→-4
lim f(x) and
x→-4+
lim
x-4¯
f(x) are not finite, and are not equal.
lim f(x) does not exist.
x-4
O none of the above
Transcribed Image Text:Explain why the function is discontinuous at the given number a. (Select all that apply.) 1 X + 4 = a = -4 Of(-4) is undefined. Of(-4) and lim f(x) are finite, but are not equal. X→-4 lim f(x) and x→-4+ lim x-4¯ f(x) are not finite, and are not equal. lim f(x) does not exist. x-4 O none of the above
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