Cubic Interpolation function help?

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I'm pretty new with Matlab and learning a lot of scientific computing. I've been instructed to write a function with the following parameters...

   function s = cubicinterp(x,y,z)
The function will take data points in arrays x and y and will return an arrays
containing the values of cubic spline interpolant evaluated at all of the points in the given array z.

I have absolutely no idea how to start this. I'm kind of familiar with how cubic interpolation and splines work but this is on a whole other level? Can anyone help me out or get me pointed in the right direction? This is starting to give me a headache.