Create assignment, 57321, Homework 50, Feb 28 at 12:43 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
→
3
f
(
x
)
.
1.
limit does not exist
correct
2.
limit = 2
3.
limit = 6
4.
limit = 5
5.
limit = 3
Explanation:
From the graph it is clear the
f
has a le±t
hand limit at
x
= 3 which is equal to 3; and
a right hand limit which is equal to 1. 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

7
x
2
+ 6
is not continuous?
1.
x
= 7
,

√
6
2.
x
= 7
3.
no values o±
x
correct
4.
x
=
√
6
5.
x
=

√
6
6.
x
=

√
6
,
√
6
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
=

6
,
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
+ 4
x ,