Let and , then which of the following relations is a function from to
Explanation for correct option:
Option C:
In functions from to , if we consider the ordered pair , then the first element should belong to and second element should belong to .
Also the function is defined from to if each element of set has a unique image in set .
So if we see the option C, then the first elements of ordered pair belong to set and second element belong to set . Also each element of set has unique image in set .
Therefore the given relation is a function.
Explanation for incorrect options:
Option A:
Here, the element from set does not have a unique image in set , therefore this is not a function.
Option B:
Here also the element from set does not have a unique image in set , therefore this is not a function.
Option D:
Here the second element of first ordered pair is not in set , Hence this is not a relation as well as function.
Hence, option C is the correct answer.