Suppose that the functions f(x) and g(x) have the following graphs:
Find the graph which most resembles the graph of |f(x) – g(x)|.
We make a table:
| x | f(x) | g(x) | f(x) – g(x) | |f(x) – g(x)| |
| 2 | 2 | 1 | 1 | 1 |
| 1 | 1 | 0 | 1 | 1 |
| 0 | 0 | -1 | 1 | 1 |
| -1 | -1 | 0 | -1 | 1 |
| -2 | 0 | 1 | -1 | 1 |
| ½ | ½ | -½ | 1 | 1 |
| -½ | -½ | -½ | 0 | 0 |
#1 fits.