Combinations of Functions
Practice Problem Answers
Practice 1: is the cost for one night on date .
-3 | -3 |
-1 | 2 |
0 | 2 |
1/2 | 2 |
1 | undefined |
π/3 |
-π/3 |
2 |
-2 |
3 |
-3 |
4 |
undefined |
5 |
1 |
Practice 3:
Practice 4:
Practice 5: See Fig. 30.
These values are approaching 3, the square root of 9.
These values are approaching 2.449489743, the square root of 6.
For any positive value , the iterates of (starting with any positive ) will approach .
Practice 7: Fig. 31 shows some of the intermediate steps and final graphs.
Practice 8: Fig. 32 shows the graph of and the graph (thicker) of .
Practice 9: Fig. 33 shows the "holey" graph of with a hole at each rational value of and the "holey" graph of with a hole at each irrational value of . Together they form the graph of .
(This is a very crude image since we can't really see the individual holes which have zero width).