NCERT Class 11 Mathematics Solutions: Chapter 2 – Relations and Functions Miscellaneous Exercise Part 1 (For CBSE, ICSE, IAS, NET, NRA 2022)

Get unlimited access to the best preparation resource for CBSE/Class-8 : get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-8.

In Figure Condition of a Function is Given

1. The relation is defined by

The relation is defined by

Show that f is a function and g is not a function.


The relation is defined as

It is observed that for


Also, at

i.e.. , at

Therefore, for , the images of are unique.

Thus, the given relation is a function.

The relation g is defined as

It can be observed that for and also

Hence, element of the domain of the relation corresponds to two different images i.e.. , 4 and 6.

Hence, this relation is not a function.

2. If , find


3. Find the domain of the function


The function is,

It can be seen that function is defined for all real numbers except at and .

So, the domain of is .

Developed by: