Regarding

$\displaystyle

f(x) = \left\{

\begin{array}{lr}

x^2 & : x < 0\\

0 & : 0 \leq x \leq 2

\end{array}

\right.

$

Is f continuous on [0,1] or [1,2]?

and is f 'right continuous' on [0,1]?

and why?

[I dont really know what it means for a function to be 'right continuous'...

any help on this?]