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Functions f(x), g(x), h(x), k(y)

Definition

Functions are mathematical relationships that assign a unique output value to each input value. They can be represented by equations, graphs, or tables.

Analogy

Think of functions as recipes. Just like a recipe takes in ingredients and produces a delicious dish, a function takes in inputs and produces an output. Each ingredient/input has its own specific role in the recipe/function.

Related terms

Domain: The set of all possible input values for a function.

Range: The set of all possible output values for a function.

Composite Function: A combination of two or more functions where the output of one function becomes the input of another function.

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.