Input

Definition

Input is the value that is fed into a function. It is commonly represented by the variable $x$ in algebraic functions.

5 Must Know Facts For Your Next Test

1. The input of a function is also known as the independent variable.
2. In a function notation $f(x)$, $x$ represents the input.
3. Each input corresponds to exactly one output in a well-defined function.
4. The domain of a function consists of all possible inputs for which the function is defined.
5. If an input does not belong to the domain of a function, then the function cannot produce an output for that input.

Review Questions

• What symbol typically represents the input in function notation?
• How does the domain of a function relate to its inputs?
• Can an input have more than one corresponding output in a well-defined function?

Related terms

Function: A relation where each input has exactly one corresponding output.

Output: The result obtained after applying the function to an input; often represented by $f(x)$.

$Domain$: $The\ set\ of\ all\ possible\ inputs\ (x-values)\ for\ which\ a\ function\ is\ defined.$