POWER FUNCTIONS AND EXPONENTIAL FUNCTIONS
1. Graph
1
y
x
=
using the window [5,5] x [10,10].
a. As
x
approaches infinity,
y
approaches_______.
b. As
x
approaches negative infinity,
y
approaches_______.
c. As
x
approaches zero from the left,
y
approaches_______.
d. As
x
approaches zero from the right,
y
approaches_______.
e. The equations of the asymptotes are ____________________.
2. Graph
2
1
y
x
=
using the window [5,5] x [2,10].
a. As
x
approaches infinity,
y
approaches_______.
b. As
x
approaches negative infinity,
y
approaches_______.
c. As
x
approaches zero from the left,
y
approaches_______.
d. As
x
approaches zero from the right,
y
approaches_______.
e. The equations of the asymptotes are ____________________.
3. Graph
,
yx
=
3
y
x
=
, and
2
y
x
=
together using the window [0,2] x [0,2].
a. Why should we restrict the domain to
?
0
x
≥
b. In addition graph
y
x
=
and
3
y
x
=
. What is the relationship of all the graphs for
01
x
≤≤
? For
1
x
>
?
c. Which of the graphs above are concave up? Concave down? Would
5
y
x
=
be concave up
or down? Would
4
y
x
=
be concave up or down?
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View Full Document4. Graph
2
50
y
x
=
and
3
y
x
=
using the window [25,25] x [5000,5000].
a. Which of these functions seems to dominates the other?
b. Change the window to [0,50] x [0,25000]. Does your answer to
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 Fall '08
 Grether
 Exponential Function, Derivative, Exponential Functions, Convex function

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