MYP Standard Mathematics Relations Vs Functions Key Definitions

The set of all input values $x$ used in a relation or function.

A relation in which every input value in the domain is mapped to one and only one output value in the range.

A relation where at least one input maps to multiple outputs and at least one output is shared by multiple inputs.

A relation where two or more different inputs are mapped to the same output.

A relation where at least one input is mapped to more than one output.

A relation where each input is mapped to a unique output, and no two different inputs share the same output.

The set of all possible output values (often $y$-values) that the function can produce from its set of input values (the domain).

A set of ordered pairs $\{(x,y)\}$ that links elements from one set (inputs) to elements of another set (outputs).