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194 Chapter 3 Exponential and Logarithmic Functions
7.
fx 1 5 x 5 x
8.
hx 3 2 x
x 2 1 0 1 2
y 25 5 1
1
5
1
25
x 2 1 0 1 2
y
9 3
1
4
2
2
3
4
9
y
4
3
1
Asymptote: y 0
Intercept: 0, 1
Decreasing
9
8
7
6
5
4
3
2
y
Asymptote: y 0
Intercept: 0, 1
Decreasing
–2 –1 1 2
x
−5 −4 −3 −2 −1
1
2
3
4
5
x
9.
hx 5 x2
10.
gx 3 2 x2
x 1 0 1 2 3
1
125
1
25
1
5
y 1 5
x 4 3 2 1 0
y
4 2
1
9
3
3
2
9
4
y
4
3
2
Asymptote:
Intercept:
Increasing
y 0
0, 1 25
9
8
7
6
5
4
3
y
Asymptote: y 0
Intercept: 0, 9 4
Increasing
1
1 2 3 4
x
−5 −4 −3 −2 −1
1
1
2
3
4
5
x
11.
gx 5 x 3
12.
fx 3 2 x 2
x 1 0 1 2
y 2 2 2 24
2 4 5
y
1
x
–2 –1 1 2
–2
13. fx 2 x2 rises to the right.
Asymptote: y 0
Intercept: 0, 1 4
Matches graph (d).
25
Asymptote: y 3
Intercepts:
0, 2, 0.683, 0
Decreasing
x 2 1 0 1 2
y
17 7
3
4
−5 −4 −3 −2 −1
9
8
7
6
5
4
2
1
y
2
1
2
3
4
5
8
3
x
22
9
Asymptote: y 2
Intercept: 0, 3
Decreasing
14. f x 2 x is positive and decreasing.
Matches graph (a).
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