Explain why the function is discontinuous at the given number a. (Select all that apply.) f(x)=x²-16 x-4 if x # 4 if x = 4 Of(4) is undefined. f(4) is defined and lim f(x) is finite, but they are not equal. lim f(x) does not exist. Olim f(x) and lim_ f(x) are finite, but are not equal. x4+ Onone of the above a = 4 Sketch the graph of the function. y O O H

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 4ECP
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hi! could you help explain to me this HOMEWORK questions and how to solve it!!

THIS IS HOMEWORK!!!!!!!!!!!!!!!!!!!!!!!!

Explain why the function is discontinuous at the given number a. (Select all that apply.)
x² - 4x
f(x) = x² - 16
1
Of(4) is undefined.
Of(4) is defined and lim f(x) is finite, but they are not equal.
x→4
Olim f(x) does not exist.
X-4
if x # 4
if x = 4
4+
Olim_ f(x) and lim_ f(x) are finite, but are not equal.
x-4
x-4
Onone of the above
Sketch the graph of the function.
O
-4
a = 4
-1F
-1
4
X
X
O
y
H
-4
-1
y
4
X
Transcribed Image Text:Explain why the function is discontinuous at the given number a. (Select all that apply.) x² - 4x f(x) = x² - 16 1 Of(4) is undefined. Of(4) is defined and lim f(x) is finite, but they are not equal. x→4 Olim f(x) does not exist. X-4 if x # 4 if x = 4 4+ Olim_ f(x) and lim_ f(x) are finite, but are not equal. x-4 x-4 Onone of the above Sketch the graph of the function. O -4 a = 4 -1F -1 4 X X O y H -4 -1 y 4 X
Explain why the function is discontinuous at the given number a. (Select all that apply.)
f(x) = x +4
a = -4
Of(-4) and lim f(x) exist, but are not equal.
x-4
0 lim f(x) does not exist.
x-4
n lim
f(x) and lim f(x) exist, but are not equal.
x-4
*--4+
✔f(-4) is undefined.
Unone of the above
Sketch the graph of the function.
O
y
y
H
O
-4
Transcribed Image Text:Explain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = x +4 a = -4 Of(-4) and lim f(x) exist, but are not equal. x-4 0 lim f(x) does not exist. x-4 n lim f(x) and lim f(x) exist, but are not equal. x-4 *--4+ ✔f(-4) is undefined. Unone of the above Sketch the graph of the function. O y y H O -4
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