Algebra/Chapter 15/Discrete Functions

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Algebra Chapter 15: Sequences and Series Section 1: Discrete Functions

Operations of Arithmetic

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A More Formal Understanding of Functions

As you know, a function assigns an input to exactly one output. We defined the set of inputs as the function's domain and the set of outputs as its range.

To describe a function f with a domain X and a codomain Y, we use the notation

$f:X\to Y$

Discrete Functions

Up to this point, we have studied what are called continuous functions, which took on certain values on any given interval.