on transformations and compositions

It was brought to my attention that thinking about transformations of functions as compositions is odd. I think I already knew this, but I wanted to put it out here to see if anyone else ponders them in this way.

To be clear, I’ve never explicitly taught it that way, but I did spend considerable time working to get students to read functions in such a way that they could describe what what happening to x before the function did it’s thing and then what happened to the output of the function (ex: with asin(bx+c)+d b and c are ‘before’ while a and d are ‘after’).

This was my semi-random thought for the day.



2 thoughts on “on transformations and compositions

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