Is it a Function?

A function is a relation that assigns exactly one output for each input.

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

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

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate system.

A function has one output for each input, while a non-function may have multiple outputs for a single input.

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

An example of a non-function is the relation {(1, 2), (1, 3)}, where the input 1 has two different outputs.

A mapping is a function if every input is paired with exactly one output.

The vertical line test helps to visually determine if a graph represents a function.