Question

Given `g(x)=log(x+2)`, how do you describe the transformation?

Answer 1

It is quite easy to make a Table for `{(x, g), g=0, +-1, +-2, +-3, ...`., using the inverse relation `x=10^g-2`.

Explanation:

Use the inverse form `x=10^g-2, x> -2`.

A sample Table for (x, g) follows.

(x, g): (-1..99999, -5) (-1.9999, -4) (-1.999, -3) (-1.99, -2) (-1.9, -1) (-1, 0)#

      (8, 1) (98, 2) (009, 3) (9998, 4) (99998, 5).

There are no approximations in this Table.

`x=-2`, downwards, is the vertical asymptote to the graph.