Function Function

Every input has only ONE output.

A graph represents a function if every vertical line intersects the graph at most once.

A relation is a set of ordered pairs, where each pair consists of an input and an output.

A relation is a function if each input is associated with exactly one output.

The vertical line test is a method to determine if a curve is a function by checking if any vertical line crosses the curve more than once.

Yes, a function can have the same output for different inputs, but each input must have only one output.

A mapping is a way to describe how each element of a set (domain) is paired with an element of another set (codomain).

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

The range of a function is the set of all possible output values (y-values) that the function can produce.

An example of a function is f(x) = 2x + 3, where each input x has a unique output.