Question

Tell me whether each of the following is a function and why

Answer 1

• a: function
• b: function
• c: not a function

Explanation:

You want to know which diagram shows a function.

Function

A function is a relation in which each value in the domain maps to exactly one value in the range. When a domain value corresponds to more than one range value, the relation is not a function.

(a) and (b) are functions.

(c) is not a function, as there are two arrows emanating from domain value 5.