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Thanks -nice idea.
I would even think of getting rid of the autolimits and make your functionvector a 5row Matrix and putting the x- and y-limits for each function in that matrix. Unfortunately its not possible to have control over other properties.
I had in mind that one worksheet is dealing only with one specific type of function, e.g. sinus-waves or polynomials. The randomness I had in mind is not to pick a pretyped function out of a vector at random but to choose function properties like amplitude, phase or frequency in case of a sine by random in a given range.
On the other hand I think this would make presenting the choice of fitting equations the students have to chose from and an automatic test-evaluation a bit harder.
At the moment I am collecting ideas and am playing around not knowing exactly what I will be able to achieve.
RMix