hich of the following is a function that has a jump discontinuity at z = 2 and a removable discontinuity at a = 4, but is continuous elsewhere? -) f(x) %3D (r - 2)(x - 4) -) f(x) = if a < 2 T-3 if 2 < I<4 or x >4. 3. if a = 4 if a <2 c) f(x) = if a > 2 r2- 4x
hich of the following is a function that has a jump discontinuity at z = 2 and a removable discontinuity at a = 4, but is continuous elsewhere? -) f(x) %3D (r - 2)(x - 4) -) f(x) = if a < 2 T-3 if 2 < I<4 or x >4. 3. if a = 4 if a <2 c) f(x) = if a > 2 r2- 4x
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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Transcribed Image Text:Which of the following is a function that has a jump discontinuity at x = 2 and a removable discontinuity at x= 4, but is continuous elsewhere?
(a) f(x) =
(x - 2)(x- 4)
1
if x <2
(b) f(x) =
3 if 2< <4 or x > 4.
3.
if x = 4
if x < 2
(c) f(x) =
1
if z > 2
x2-4x
2)
![For the functions below that have a removable discontinuity at x = a [if the function does not have a removable discontinuity, type in "n" below], state the value
of g(a), where g(x) agrees with f(x) for x + a and is continuous everywhere.
x2- 2x 8
(a) f(x)
a = -2
x+2
(b) f(x) =
-7
a = 7
|x -7|
+64
(c) f(x) =
a =-4
%3D
x+4
3- Va
(d) f(x) =
,a=9
PR -
(a)
(b)
(c)
(d)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2064ba4-54b4-4e8b-9b7a-f993f6872371%2F302ce4be-d975-4048-98b4-326c4356022a%2Fh5g6g9k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For the functions below that have a removable discontinuity at x = a [if the function does not have a removable discontinuity, type in "n" below], state the value
of g(a), where g(x) agrees with f(x) for x + a and is continuous everywhere.
x2- 2x 8
(a) f(x)
a = -2
x+2
(b) f(x) =
-7
a = 7
|x -7|
+64
(c) f(x) =
a =-4
%3D
x+4
3- Va
(d) f(x) =
,a=9
PR -
(a)
(b)
(c)
(d)
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