Web Reference: A function is a mathematical concept that assigns to each element of a set exactly one element of another set. Learn the history, definition, types, properties, and examples of functions in mathematics. function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences. The modern definition of function was first given in 1837 by the German mathematician Peter Dirichlet: Learn the definition, examples and types of functions in math. A function relates an input to an output and follows two rules: it covers every element of the input set and it is single valued.
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