Input

Definition

Input is the value substituted into a function. It is commonly denoted as $x$ in functional notation.

5 Must Know Facts For Your Next Test

1. In the function $f(x) = y$, $x$ represents the input.
2. The domain of a function consists of all possible inputs.
3. Each input in a function has exactly one corresponding output.
4. Input values are often represented on the horizontal axis (x-axis) in a graph.
5. Valid inputs must satisfy any restrictions defined by the function's domain.

Review Questions

• What is the input in the function notation $f(x) = y$?
• Why must an input satisfy certain restrictions in a given function?
• How do you determine if an input is valid for a specific function?

Related terms

Output: The result obtained after applying the input to a function, often denoted as $y$.

Domain: The set of all possible inputs for which a function is defined.

Range: The set of all possible outputs that can be produced by a function.