I've been given a rather bizarre homework assignment. some of the problems involve graphing. Like this one:

$\displaystyle y = \mid {x+1} \mid + \mid {x+2} \mid $

I can just plot points, but that is too time consuming. I've been told about a method of graphing them separately and adding them together, I forget exactly what it was, but it's a different method of graphing. Is there someone that knows it?

Then the homework assignment starts to become very strange when we are given to graph this:

$\displaystyle [x^2 + y^2 - 1] [y - x + \frac {0}{\sqrt{-x}}] [y - \sin (x) + \frac {0 \sqrt{x -2\pi}}{\sqrt{4\pi - x}}]$

How in the world am I supposed to graph this? To be honest, I was really intimidated when seeing this problem.