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Mathematics LibreTexts

10: Functions

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  • 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 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.

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