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256 Chapter 3 Exponential and Logarithmic Functions<br />
41.<br />
1.2x 3.5y 10.5 42.<br />
10<br />
8<br />
6<br />
2<br />
y<br />
−4 −2<br />
−2<br />
2 4 6 8<br />
−4<br />
−6<br />
35y 12x 105<br />
Slope:<br />
y-intercept:<br />
0, 3<br />
12<br />
35<br />
y 12<br />
35 x 105<br />
35<br />
12<br />
35 x 3<br />
x<br />
0.4x 2.5y 12.0<br />
4<br />
Slope: 25 0.16<br />
y-intercept: 0, 24 5 0, 4.8<br />
2<br />
1<br />
y<br />
−2 −1<br />
−1<br />
1 2 3 4 5 6<br />
−2<br />
−3<br />
−4<br />
−6<br />
25y 4x 120<br />
y 4 25 x 24<br />
5<br />
x<br />
Review Exercises for Chapter 3<br />
1. 1.45 2 10.32542. 7 11 0.002 3.<br />
60 21.1 60 2.2<br />
0.0001225 0.0<br />
4. 25 332 5.12 10 7 0 5. e 8 2980.958 6. 5e 5 46.7823<br />
7. e 2.1 e 2.1 8.1662 8. 4e 35 2.1952<br />
9. fx 4 x 10.<br />
Intercept: 0, 1<br />
Horizontal asymptote:<br />
x-axis<br />
Increasing on: , <br />
Matches graph (c).<br />
11. fx 4 x 12.<br />
Intercept: 0, 1<br />
Horizontal asymptote:<br />
x-axis<br />
Decreasing on: , <br />
Matches graph (b).<br />
fx 4 x<br />
Intercept: 0,1<br />
Horizontal asymptote:<br />
x-axis<br />
Decreasing on: , <br />
Matches graph (d).<br />
fx 4 x 1<br />
Intercept: 0, 2<br />
Horizontal asymptote: y 1<br />
Increasing on: , <br />
Matches graph (a).<br />
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