Output

Definition

The output is the result of a function for a given input value. It represents the value that the function assigns to each element in its domain.

5 Must Know Facts For Your Next Test

1. In a function, each input corresponds to exactly one output.
2. The output is often represented by $f(x)$, where $x$ is the input.
3. For a given function $f$, if $x$ is in the domain of $f$, then $f(x)$ is in the range of $f$.
4. Graphically, the output can be seen as the y-coordinate of points on the graph of the function.
5. To find an output from an algebraic expression, substitute the input value into the function and simplify.

Review Questions

Related terms

Input: The value substituted into a function to determine an output.

Domain:

The set of all possible input values for which a function is defined.

Range:

The set of all possible outputs that a function can produce.