Question

Please hury What is the range of the relation?

{(1, 2), (2, 4), (3, 2), (4, 4)}
A{2, 4, 6}

B{2, 4}

C{1, 2, 3, 4}

D{1, 2, 3, 4, 6}

Answer 1

Option B

The range of the relation is {2, 4}

Solution:

Given, function set is {(1, 2), (2, 4), (3, 2), (4, 4)}

We have to find what is the range of the relation from given set of options.

Now, we know that, in a function mapping set, the first elements of the brackets are from the domain set of the function and the second elements are from co – domain sets.

So, now, let us separate, the given function set as domain and co - domain

Domain = {1, 2, 3, 4}

Co – domain = {2, 4}

we wrote 2 and 4 only once, even when they are two times mapped in functions set as co –domain does not support duplicate elements.

So, co – domain = {2, 4}

Then, range will also be {2, 4} as we written the co – domain from function set directly, co –domain equals with range.

Hence, the range of the relation is {2, 4}. Hence Option B is correct