I am doing some review, starting back at the fundamentals and I do not know why but piecewise confuse the hell out of me at times. I have the following piecewise function and have to tell if it is continuous or not on the interval [-1,1]

$\displaystyle f(x)=\frac{x}{|x|} x not equal to 0$

$\displaystyle f(x)= x = 0 when x = 0$

Sorry to be so abrupt, I know how to tell continuity with normal functions such as if it a rational fraction and long as the value that deems the function undefined is not in that interval it is continuous? also if the sign changes from left to right in a interval?

Any tips to help me with continuity