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CONTENT:
(a) Types of functions (one-to-one, one-to-many, many-to-one, many-to-many)
(b) Function as a mapping
(c) Determination of the rule of a given mapping/function.
A mapping is simply an association or a relation between two sets
A function is a relation in which each element of the domain has one and only one image in the co-domain. One-to-one and many-to-one relation are therefore functions.
Note:
- If there exists at least an element in the domain that does not have an image in the co-domain, then it is not a mapping.
- If an element in the domain has 2 or more images in co-domain, then it is not a mapping.
Thus, for a relation to be a mapping; it must be that:
*Every element of the domain has an image in the co-domain
*The image of every element of the domain is unique
Note: All functions are relations but not all relations are functions
Many – to – many relation is not a function since some elements of the domain have more than one image.
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ClassHall Instructor
Ezimeruwe Oghenekaro
Halima Ahmadu
Sadiq Barau