handa (nh5757) – HW03 – meth – (55830)
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001
10.0 points
If the function
f
is continuous everywhere
and
f
(
x
) =
x
2

9
x
+ 3
when
x
=

3, find the value of
f
(

3).
1.
f
(

3) = 9
2.
f
(

3) =

6
3.
f
(

3) = 3
4.
f
(

3) = 6
5.
f
(

3) =

9
6.
f
(

3) =

3
002
10.0 points
Determine which of the following could be
the graph of
f
near the origin when
f
(
x
) =
x
2

7
x
+ 10
2

x
,
x
= 2
,
4
,
x
= 2
.
1.
2.
3.
4.
5.
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handa (nh5757) – HW03 – meth – (55830)
2
6.
003
10.0 points
Determine which (if any) of the following
functions is not continuous at
x
= 3.
1.
all continuous at
x
= 3
2.
f
(
x
) =
1
x

3
x
= 3
3
x
= 3
3.
f
(
x
) =

x

3

x
= 3
0
x
= 3
4.
f
(
x
) =
1
x

1
x
≥
3
1
2
x <
3
5.
f
(
x
) =
27
2
x

3
x
= 3
9
x
= 3
6.
f
(
x
) =
1

x

1

x
≥
3
1
2
x <
3
004
10.0 points
Use continuity to evaluate
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 Spring '10
 Gualdini
 Topology, Continuous function, x=3

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