what is the term for a relation in which each input value corresponds to exactly one output value?
A function.
Thanks!
The term for a relation in which each input value corresponds to exactly one output value is "a function." To understand this concept, it's important to grasp the idea of mappings between sets.
In mathematics, a relation represents a connection or correspondence between two sets, called the domain and the codomain. When every element of the domain has a unique corresponding element in the codomain, we have a function.
In order to determine if a relation is a function, you'll need to examine the set of input-output pairs. If each input value (from the domain) maps to exactly one output value (in the codomain), then it satisfies the criteria for being a function.
Remember that it is possible for multiple input values to correspond to the same output value (one-to-many relation), but it is not possible for a single input value to have multiple output values (many-to-one relation) in a function.