Output

Definition

The output is the value that results from applying a function to an input. It represents the dependent variable in a function relationship.

5 Must Know Facts For Your Next Test

1. The output of a function $f(x)$ is denoted as $f(a)$ when the input is $a$.
2. In the equation $y = f(x)$, $y$ represents the output.
3. The range of a function consists of all possible outputs.
4. The output depends directly on the input and the rule defined by the function.
5. A graph of a function visually shows how each input maps to an output.

Review Questions

• What does the term 'output' represent in the context of functions?
• How do you denote an output for a given input using function notation?
• What term describes the set of all possible outputs of a function?

Related terms

Input: The value substituted into a function to determine an output, often represented by $x$.

Range: The set of all possible outputs (or y-values) for a given function.

Function Notation: A way to represent functions in the form $f(x)$ where $f$ denotes the function and $x$ is the input variable.