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Real-valued functions

Definition

Real-valued functions are mathematical functions that take real numbers as inputs and produce real numbers as outputs.

Analogy

Real-valued functions are like vending machines that only accept coins and give out snacks. You put in a coin (input) and get your desired snack (output), but it has to be with real numbers instead!

Related terms

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

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

Continuous Function: A continuous function is one where there are no breaks, jumps, or holes in its graph. It can be drawn without lifting your pencil from paper.



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© 2024 Fiveable Inc. All rights reserved.

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