We could take some typical values and join the dots to graph the log function, as follows:
| x | 0.01 | 0.1 | 0.5 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|---|---|
| f(x) | -2 | -1 | -0.30 | 0 | 0.30 | 0.48 | 0.60 |
Notice that we cannot take negative values for x. Can you figure out why not?
Our curve passes through (1, 0) (on the x-axis).