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

• What is meant by 'output' in the context of functions?
• If $f(x) = x^2 + 3x + 2$, what is the output when $x = -1$?
• How do you determine the output of a function from its graph?

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.