Explain why the function is discontinuous at the given number a. (Select all that apply.) (cos(x) if x < 0 if x = 0 1- x2 if x > 0 f(x) = {0 a = 0 lim f(x) does not exist. f(0) and lim f(x) are finite, but are not equal. O f(0) is undefined. lim f(x) and lim f(x) are finite, but are not equal. O none of the above Sketch the graph of the function. y ーオ y

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 2E
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Explain why the function is discontinuous at the given number a. (Select all that apply.)
cos(x)
if x < 0
f(x) =
if x = 0
a = 0
%3D
1 - x2 if x > 0
lim f(x) does not exist.
f(0) and lim f(x) are finite, but are not equal.
o F(0) is undefined.
lim f(x) and lim f(x) are finite, but are not equal.
X→0-
none of the above
Sketch the graph of the function.
y
y
y
AA
10
X
1
-1F
-1
-1
y
Transcribed Image Text:Explain why the function is discontinuous at the given number a. (Select all that apply.) cos(x) if x < 0 f(x) = if x = 0 a = 0 %3D 1 - x2 if x > 0 lim f(x) does not exist. f(0) and lim f(x) are finite, but are not equal. o F(0) is undefined. lim f(x) and lim f(x) are finite, but are not equal. X→0- none of the above Sketch the graph of the function. y y y AA 10 X 1 -1F -1 -1 y
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