Explain why the function is discontinuous at the given number a. (Select all that apply.) (x+5 ifxs-1 if x > -1 A lim B f(-1) and lim f(x) are finite, but are not equal. x--1 f(x) does not exist. x--1 f(x) = lim x-1+ f(x) and lim x-1 f(-1) is undefined. none of the above -4 Sketch the graph of the function. -2 51 O 4 3 2 a = -1 f(x) are finite, but are not equal. 2 V N -2 -2 -4 2 ✪ -4 2 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Explain why the function is discontinuous at the given number a. (Select all that apply.)
= {
√x + 5
f(x) =
f(-1) and lim f(x) are finite, but are not equal.
X→-1
lim f(x) does not exist.
x-1
lim
x-1+
-4
f(x) and lim
f(-1) is undefined.
none of the above
-4
if x < -1
if x > -1
X→-1-
Sketch the graph of the function.
y
-2
f(x) are finite, but are not equal.
4
4
4
3
J V A
3
3
2
2
2
-2
-2
a = -1
2
5
4
3
V
2
-2
2
4
4
<-4
2
4
X
-4
2
Transcribed Image Text:Explain why the function is discontinuous at the given number a. (Select all that apply.) = { √x + 5 f(x) = f(-1) and lim f(x) are finite, but are not equal. X→-1 lim f(x) does not exist. x-1 lim x-1+ -4 f(x) and lim f(-1) is undefined. none of the above -4 if x < -1 if x > -1 X→-1- Sketch the graph of the function. y -2 f(x) are finite, but are not equal. 4 4 4 3 J V A 3 3 2 2 2 -2 -2 a = -1 2 5 4 3 V 2 -2 2 4 4 <-4 2 4 X -4 2
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