10: Functions

Elementary Foundations: An Introduction to Topics in Discrete Mathematics · LibreTexts

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    From LibreTexts, under GNU Free Documentation, as the source states it; its equations are written in TeX, which the PDF shows typeset. This page at LibreTexts.

    • 10.1: Basics
      Function(working definition): a rule which assigns to each input element from a set A a single output element from a set B
    • 10.2: Properties of Functions
      Surjective Function: a function whose image is all of its codomain — that is, every element of the codomain is an output for the function;
    • 10.3: Important Examples
      identity function (on a set A ): the function A→A defined by a↦a
    • 10.4: Composition of functions
      Composite Function: a function A→C created from given functions f:A→B and g:B→C by a↦g(f(a))
    • 10.5: Inverses
      Suppose f:A→B is a function. By definition, f associates an element of B to each element of A. Sometimes we want to reverse this process: given an element b∈B, can we determine an element a∈A such that f(a)=b?
    • 10.6: Activities
    • 10.7: Exercises

    This page titled 10: Functions was last modified on Tue, 01 Sep 2026 03:33:54 GMT and is shared under a GNU Free Documentation License 1.3 license and was authored, remixed, and/or curated by Jeremy Sylvestre via source content that was edited to the style and standards of the LibreTexts platform.