calculas
1. Find a constant c that makes g continuous on
)
,
(
¥
-¥
î
í
ì
³
+
<
-
=
4
;
20
4
;
)
(
2
2
x
cx
x
c
x
x
g
2. Without using a calculator, find all asymptotes to the graph of
8
2
5
2
3
)
(
2
2
-
+
-
=
=
x
x
x
x
f
y
3. Without using a calculator, find
2
3
2
lim
2
2
2
+
-
-
-
®
x
x
x
x
x
4. Find the equation of the tangent line to the curve
3
)
(
+
=
=
x
x
f
y
at.
16
=
x
5. For
,
4
)
(
x
x
f
=
findh
x
f
h
x
f
h
)
(
)
(
lim
0
-
+
®
6.
î
í
ì
-
<
+
-
³
=
1
;
2
1
;
2
)
(
2
x
x
x
x
x
f
a) Find L =
)
(
lim
0
x
f
x
®
b) Using your calculator, find a number
0
>
d
so that ifd
<
<
|
|
0
x
, then01
.
0
|
)
(
|
<
-
L
x
f