Functions Review

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

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

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

A graph represents a function if any vertical line drawn intersects the graph at most once (Vertical Line Test).

A relation is any set of ordered pairs, while a function is a specific type of relation where each input has exactly one output.

A function is one-to-one if each output is associated with exactly one input.

A relation where an input has multiple outputs, such as the relation {(1, 2), (1, 3)}.

A linear function is a function that graphs to a straight line, typically in the form y = mx + b.

A quadratic function is a function that can be expressed in the form y = ax^2 + bx + c, where a ≠ 0.

The notation f(x) represents a function named 'f' evaluated at the input 'x'.