Hyperbolic Functions: Graphs - question

[Slimsta]

Homework Statement

$$\displaystyle \Large y = \ln (x + \sqrt{x^2 - 1})$$

Homework Equations

The Attempt at a Solution

i used my graphing calc.. but that's not the point.
how do i do this question? i mean, how do i find the graph of that function?

 

[lanedance]

find and classify critical points, assymptotic behaviour & axis crossings, then put a line through the dots