#Is this a Function?
4 messages · Page 1 of 1 (latest)
Is there a graph?
Range is the set of elements in co domain that are mapped to atleast one element in the domain.
A relation is a function if it meets these conditions.
1)Every element in the domain must be mapped. (Not every element in the co domain needs to be mapped. Hence range is a subset of co domain).
2)Each element in the domain must be mapped to only one element in the co domain (elements in range can be mapped by more than one elements in domain).
Question's talking of domain of inverse. That is, range. And range of inverse, that is, domain.
So we see that each element in domain is mapped to only one element in range. (6 in range is mapped twice and it's fine ); meeting condition 2)
And Range of inverse, gives the elements of domain that are mapped. So we don't really know if all the elements of Domain are mapped or not.(Can't determine if it's a function or not) Or if they mean to say Co domain, then it is a function