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Section 3.1 Exponential Functions and Their Graphs 197
33.
y 2 x2
34.
y 3 x
x 2 1 0 1 2
x 2 1 0 1 2
y
0.06 0.5 1 0.5 0.06
y
0.11 0.33 1 0.33 0.11
y
y
9
8
7
6
5
4
3
2
−5 −4 −3 −2 −1 1 2 3 4 5
x
4
3
2
1
−2 −1
1 2
−1
x
Asymptote: y 0
Asymptote: y 0
35.
y 3 x2 1
36.
y 4 x1 2
x 1 0 1 2 3 4
x 2 1 0 1 2
y
1.04 1.11 1.33 2 4 10
y
1.75
1
2 14 62
y
y
9
8
7
6
5
4
3
2
−4 −3 −2 −1 1 2 3 4 5 6
x
5
4
3
2
1
−5 −4 −3 −2 1 2 3 4 5
−2
−3
−4
−5
x
Asymptote: y 1
Asymptote: y 2
37.
fx e x
38.
st 3e 0.2t
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x 2 1 0 1 2
f x 7.39 2.72 1 0.37 0.14
9
8
7
6
5
4
3
−5 −4 −3 −2 −1 1 2 3 4 5
Asymptote: y 0
1
y
x
t 1 0 1 2 3 4
st
9
8
7
6
5
4
2
1
3.66 3 2.46 2.011 1.65 1.35
y
−4 −3 −2 −1 1 2 3 4 5 6
Asymptote: y 0
t