How do you plot complex functions

[coverband]

Homework Statement

Draw graphs of $$V(x)=\frac{x^2}{1+x^4}$$ and $$y=\pm\sqrt{2cosx-4\epsilon x+B}$$

Homework Equations

The Attempt at a Solution

Are we really expected to be able to draw these with just a pen and paper!?

 

[lanedance]

yes, though sketch would be a better term as generally you just want to capture the key behaviour of the curve

start by looking for critical points, behaviour at critical points and asymptotic behaviour