Create assignment, 57321, Homework 50, Feb 28 at 12:42 pm
1
This printout should have 13 questions.
Multiplechoice questions may continue on
the next column or page – fnd all choices
be±ore answering.
The due time is Central
time.
CalC2b04a
48:02, calculus3, multiple choice,
>
1 min,
normal.
001
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
→
4
f
(
x
)
.
1.
limit = 9
2.
limit = 4
3.
limit = 6
4.
limit = 8
5.
limit does not exist
correct
Explanation:
From the graph it is clear the
f
has a le±t
hand limit at
x
= 4 which is equal to 8; and
a right hand limit which is equal to 6. Since
the two numbers do not coincide, the
limit does not exist
.
keywords: defnition o± limit, graph, domain,
range, limit at jump discontinuity
CalC2e21a
48:04, calculus3, multiple choice,
>
1 min,
normal.
002
Find all values o±
x
at which the ±unction
f
defned by
f
(
x
) =
x

4
x
2
+ 2
is not continuous?
1.
x
= 4
2.
x
=

√
2
3.
x
= 4
,

√
2
4.
no values o±
x
correct
5.
x
=
√
2
6.
x
=

√
2
,
√
2
Explanation:
Because
f
is a rational ±unction it will ±ail
to be continuous only at zeros o± the denomi
nator. Since there are no real solutions to
x
2
=

2
,
the ±unction is continuous everywhere; put
another way,
f
±ails to be continuous at
no values o±
x
.
keywords: rational ±unction, continuous
CalC3a01e
49:01, calculus3, multiple choice,
>
1 min,
wordingvariable.
003
I±
f
(
x
) =

5
x
2
+ 3
x ,