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padilla (tp5647) – Homework03 – Fouli – (58320)
1
This printout should have 24 questions.
Multiplechoice questions may continue on
the next column or page – fnd all choices
be±ore answering.
001
10.0 points
Suppose
lim
x
→
5
f
(
x
) = 4
.
Which o± these statements are true without
±urther restrictions on
f
?
A.
Range of
f
need not contain
4
.
B.
f
is deFned on
(
a, b
)
for some
a <
5
< b
.
C.
As
f
(
x
)
approaches
4
,
x
approaches
5
.
1.
B and C only
2.
A and C only
3.
A and B only
4.
None o± them
5.
A only
6.
All o± them
7.
B only
8.
C only
002
10.0 points
Below is the graph o± a ±unction
f
.
2
4
6
−
2
−
4
−
6
2
4
6
8
−
2
−
4
Use the graph to determine
lim
x
→
0

f
(
x
)
.
1.
limit =
−
2
2.
limit =
−
4
3.
limit does not exist
4.
limit = 6
5.
limit = 2
003
10.0 points
A ±unction
f
is defned piecewise ±or all
x
n
= 0 by
f
(
x
) =
5 +
x,
x <
−
2
,
2
x,
0
<

x
 ≤
2
,
4 +
x
−
1
2
x
2
,
x >
2
.
By frst drawing the graph o±
f
, determine all
the values o±
a
at which
lim
x
→
a
f
(
x
)
exists, expressing your answer in interval no
tation.
1.
(
−∞
,
−
2)
∪
(
−
2
,
0)
∪
(0
,
∞
)
2.
(
−∞
,
0)
∪
(0
,
2)
∪
(2
,
∞
)
3.
(
−∞
,
−
2)
∪
(
−
2
,
∞
)
4.
(
−∞
,
2)
∪
(2
,
∞
)
5.
(
−∞
,
0)
∪
(0
,
∞
)
6.
(
−∞
,
−
2)
∪
(
−
2
,
2)
∪
(2
,
∞
)
7.
(
−∞
,
−
2)
∪
(
−
2
,
0)
∪
(0
,
2)
∪
(2
,
∞
)
004
10.0 points
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This note was uploaded on 09/09/2009 for the course M 408k taught by Professor Fouli during the Spring '09 term at University of TexasTyler.
 Spring '09
 Fouli

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