Question

The relation is defined by
The relation is defined by

Show that is a function and is not a function.

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Solution

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The relation is defined as  

It is observed that for  we have and for  we have

Also at , or  

i.e., at

Therefore for every , we have unique image under  

Thus, the relation is a function.

Also, the relation is defined as

It can be observed that for we have and

Thus, the element of the domain of the relation has two different images i.e., and

Hence, this relation is but not a function.

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Solution To Question ID 417913
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