Functions

[vast zinc]

Hey people. So I've essentially been going through functions for a bit now, but even after going through the full syllabus prescribed by my school, the concept doesn't seem to click for me (mainly topics like proving surjectivity, properties of function composition and function inversion). Does anyone know of any extra reference material I could find that would explain stuff more in depth or give me more problems to solve? I've done about a hundred problems on this and can easily do the harder ones, but even my ref books over now and I still haven't gotten that intuitive feeling for the topic (sorry if this is the wrong place to ask this)

[honest cobalt]

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[whole ridge]

What you need to understand about a function is that, fundamentally, what a function is is a set of ordered pairs, where the first element of the pair comes from the domain, and the second element of the pair comes from the range, and each element of the domain appears in exactly one pair.