Work through the odd-numbered problems 1-31. Once you have completed the problem set, check your answers.
1.
(a) , , ,
(b) , , ,
(c) , , ,
7.
(a)
-1 | 0 | 1 | 2 | 3 | 4 | |
---|---|---|---|---|---|---|
3 | 3 | -1 | 0 | 1 | 1 | |
-2 | 0 | 1 | 2 | 3 | 4 | |
-3 | -2 | -1 | 0 | 1 | 2 |
9.
(b) For , .
15. See Fig. 0.4P15.
(b) , . If , then .
19.
See Fig. 0.4P19 for the graph of .
21. works. The value of in determines the relative lengths of the long and short parts of the pattern..
23.
(a) , , , . Now graph
25. starting with , or any value.
27. . (note that this is the corrected version
of the function f)
.
29.
.
(b) .
(c) Solve to get and so is a fixed point of .
31. On your own.