7.
(1 point) For what value of the constant
c
is the function
f
continuous on the interval
(

•
,
•
)
.
f
(
x
) =
(
x
2

10
,
x
c
4
x

14
,
x
>
c
c
=
Answer(s) submitted:
•
2
(correct)
8.
(1 point) For what value of the constant
c
is the function
f
continuous on the interval
(

•
,
•
)
.
f
(
x
) =
(
cx
2
+
4
x
,
x
<
2
x
3

cx
,
x
≥
2
c
=
Answer(s) submitted:
•
0
(correct)
9.
(1 point) What values of
a
and
b
make the function
f
continuous everywhere?
f
(
x
) =
8
>
>
<
>
>
:
x
2

4
x

2
,
if
x
<
2
ax
2

bx

18
,
if 2
x
<
3
12
x

a
+
b
,
if
x
≥
3
a
=
and
b
=
Answer(s) submitted:
•
5
•
1
(correct)
10.
(1 point) The table below gives for the value of contin
uous function
f
at each
x
value. Using the Intermediate Value
Theorem and the information in the table, determine the small
est interval in which the function
must
have a root.
x
f
(
x
)

5
1
.
25

4
2
.
03

3
3
.
05

2
3
.
01

1
1
.
02
0

0
.
69
1

2
.
43
2

3
.
45
3

6
.
76
4

7
.
93
5

7
.
93
Answer (in interval notation):
Answer(s) submitted:
•
(1,0)
(correct)
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2