Chapter 7 Rational Functions - College of the Redwoods
Chapter 7 Rational Functions - College of the Redwoods
Chapter 7 Rational Functions - College of the Redwoods
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658 <strong>Chapter</strong> 7 <strong>Rational</strong> <strong>Functions</strong><br />
13.<br />
19.<br />
y<br />
10<br />
y<br />
10<br />
(−1,3)<br />
y=2 (−1,0) (2,0)<br />
x<br />
10<br />
(2,0)<br />
x<br />
10<br />
y=−2<br />
x=−3 x=4<br />
x=−3<br />
15.<br />
21. (9, 0)<br />
y<br />
5<br />
23. (4, 0)<br />
25. no x-intercepts<br />
y=0<br />
(3,1)<br />
x<br />
5<br />
27. (7, 0)<br />
29. x = 2<br />
31. x = −4<br />
33. no vertical asymptotes<br />
x=2<br />
35. x = −3<br />
17.<br />
37. Horizontal asymptote at y = 2.<br />
y<br />
10<br />
X Y1 X Y1<br />
10 11.5 -10 0.944444<br />
y=2<br />
(2,7/2)<br />
100 2.20652 -100 1.82407<br />
1000 2.01915 -1000 1.98115<br />
(−3/2,0)<br />
x<br />
10<br />
10000 2.0019 -10000 1.998<br />
39. Horizontal asymptote at y = −1.<br />
X Y1 X Y1<br />
x=0<br />
10 -0.671329 -10 -1.52381<br />
100 -0.960877 -100 -1.04092<br />
1000 -0.996009 -1000 -1.00401<br />
10000 -0.9996 -10000 -1<br />
Version: Fall 2007