Use the graph of the function f shown below to respond to each prompt. The first prompt is worth 3 points. The other prompts are worth 0.5 points each: 10-9-8--6-5-4-3-2 ● Does Not Exist Undefined x→-3 lim x-3 . Can be found, lim f(x) lim x → 1 Does Not Exist Undefined f(x) = lim f(x) x →1 . Can be found, f(x) = The function has several discontinuities. State the location of two discontinuities and explain, using the definition of continuity, why the function is not continuous at that location. Does Not Exist Undefined f(- 6) 10+ 9 Edit Insert Formats B IU X₂ X² A E = = E- 3? e & N lim f(x) x+3+ . Can be found, lim f(x) = x+3+ 8+ f(-3) f(-7) . Can be found, f(-7)= . Can be found, f(-3) = Does Not Exist Undefined 7 6 5 4- 3 2 1 -2 -3 -4 -5 -6 -7 -8 9+ --10+ 2 A I V 4 5 6 7 8 9 10 Does Not Exist Undefined lim x →-3+ 。 Can be found, lim f(x) x → f(x) = - 3+ Does Not Exist Undefined f(1) Can be found, f(1) = Does Not Exist Undefined lim f(x) x →3 。 Can be found, f(x) = lim x →3 Does Not Exist Undefined lim f(x) r-m Σ+ Σ Α lim f(x) x →0 . Can be found, f(x) = lim x → 0 o Does Not Exist o Undefined 0 lim x-3 f(x) Can be found, f(x) = lim x→-3 Does Not Exist o Undefined lim f(x) x →3 . Can be found, O f(x) = lim _Ex o Does Not Exist o Undefined lim x→-6 f(x) . Can be found, lim x-6 f(x) = Does Not Exist Undefined
Use the graph of the function f shown below to respond to each prompt. The first prompt is worth 3 points. The other prompts are worth 0.5 points each: 10-9-8--6-5-4-3-2 ● Does Not Exist Undefined x→-3 lim x-3 . Can be found, lim f(x) lim x → 1 Does Not Exist Undefined f(x) = lim f(x) x →1 . Can be found, f(x) = The function has several discontinuities. State the location of two discontinuities and explain, using the definition of continuity, why the function is not continuous at that location. Does Not Exist Undefined f(- 6) 10+ 9 Edit Insert Formats B IU X₂ X² A E = = E- 3? e & N lim f(x) x+3+ . Can be found, lim f(x) = x+3+ 8+ f(-3) f(-7) . Can be found, f(-7)= . Can be found, f(-3) = Does Not Exist Undefined 7 6 5 4- 3 2 1 -2 -3 -4 -5 -6 -7 -8 9+ --10+ 2 A I V 4 5 6 7 8 9 10 Does Not Exist Undefined lim x →-3+ 。 Can be found, lim f(x) x → f(x) = - 3+ Does Not Exist Undefined f(1) Can be found, f(1) = Does Not Exist Undefined lim f(x) x →3 。 Can be found, f(x) = lim x →3 Does Not Exist Undefined lim f(x) r-m Σ+ Σ Α lim f(x) x →0 . Can be found, f(x) = lim x → 0 o Does Not Exist o Undefined 0 lim x-3 f(x) Can be found, f(x) = lim x→-3 Does Not Exist o Undefined lim f(x) x →3 . Can be found, O f(x) = lim _Ex o Does Not Exist o Undefined lim x→-6 f(x) . Can be found, lim x-6 f(x) = Does Not Exist Undefined
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question

Transcribed Image Text:location.
Edit Insert Formats
블로
f(-7)
. Can be found, f(-7)=
Does Not Exist
Undefined
lim
x 3
. Can be found,
lim
x-3
lim
-- E- EE C & &
Does Not Exist
Undefined
lim
f(x)
f(x)
x →1
. Can be found,
f(x) =
x →3
f(x) =
+
x →1
Does Not Exist
Undefined
=
lim
f(x)
x+3+
. Can be found,
lim
f(x) =
Does Not Exist
Undefined
f(- 6)
. Can be found, f(-6)
Does Not Exist
Undefined
BI U x₂ x²
=
f(-3)
. Can be found, f(-3) =
Does Not Exist
Undefined
lim
x-3
. Can be found,
lim
x-3
+²
f(x)
+
Does Not Exist
Undefined
lim
f(x) =
f(1)
. Can be found, f(1) =
Does Not Exist
Undefined
lim f(x)
x 3
. Can be found,
f(x) =
lim
x → ∞
x →3
Does Not Exist
Undefined
lim
f(x)
x →∞
. Can be found,
f(x) =
Does Not Exist
Undefined
Σ+ Σ Α
lim
f(x)
. Can be found,
f(x) =
<>
0←x
lim
x →0
Does Not Exist
Undefined
lim
f(x)
. Can be found,
f(x) =
E-←x
lim
x-3
Does Not Exist
Undefined
lim
x →3
. Can be found,
lim
f(x) =
x →3
f(x)
Does Not Exist
Undefined
lim
lim
f(x)
x →
6
. Can be found,
f(x) =
9-x
Does Not Exist
Undefined

Transcribed Image Text:Use the graph of the function f shown below to respond to each prompt. The first
prompt is worth 3 points. The other prompts are worth 0.5 points each:
10-9-8--6-5-4-3-2
●
Does Not Exist
Undefined
x→-3
lim
x-3
. Can be found,
lim
f(x)
lim
x → 1
Does Not Exist
Undefined
f(x) =
lim f(x)
x →1
. Can be found,
f(x) =
The function has several discontinuities. State the location of two discontinuities and
explain, using the definition of continuity, why the function is not continuous at that
location.
Does Not Exist
Undefined
f(- 6)
10+
9
Edit Insert Formats B IU X₂ X² A
E = = E-
3?
e & N
lim
f(x)
x+3+
. Can be found,
lim
f(x) =
x+3+
8+
f(-3)
f(-7)
. Can be found, f(-7)= . Can be found, f(-3) =
Does Not Exist
Undefined
7
6
5
4-
3
2
1
-2
-3
-4
-5
-6
-7
-8
9+
--10+
2
A
I
V
4 5 6 7 8 9 10
Does Not Exist
Undefined
lim
x →-3+
。 Can be found,
lim
f(x)
x →
f(x) =
- 3+
Does Not Exist
Undefined
f(1)
Can be found, f(1) =
Does Not Exist
Undefined
lim f(x)
x →3
. Can be found,
f(x) =
lim
x →3
Does Not Exist
Undefined
lim f(x)
r-m
Σ+ Σ Α
lim f(x)
x →0
. Can be found,
f(x) =
lim
x → 0
o Does Not Exist
o Undefined
0
lim
x-3
f(x)
Can be found,
f(x) =
lim
x→-3
Does Not Exist
o Undefined
lim
f(x)
x →3
. Can be found,
O
f(x) =
lim
_Ex
o Does Not Exist
o Undefined
lim
x→-6
f(x)
. Can be found,
lim
x-6
f(x) =
Does Not Exist
Undefined
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