The graph of y fx is shown at the left and the graph of y
The graph of y = f(x) is shown at the left and the graph of y = g(x) is shown at the right. (No formulas are given.) What is the relationship between g(x) and f(x)? g(x) = f(x + 1) + 1 g(x) = f(x - 1) - 1 g(x) = f(x - 1) + 1 g(x) = f(x + 1) - 1
Solution
These values are only satisfied by Option D.
g(x) = f(x + 1) - 1
| x | f()x | g(x) |
| 0 | 4 | 3 |
| 1 | 4 | DNE |
| -1 | 4 | 3 |
| -2 | 3 | 3 |
| -3 | 2 | 2 |
| -4 | DNE | 1 |
