If = {(x, y) | y = 2x + 7, where x ∈ R and – 5 ≤ x ≤ 5} is a relation. Then find the domain and Range of .

Solution:

Provided,

, in which x ∈R and is a relation

All the first elements of all the ordered pairs of , i.e., x, are included in the domain of

Also provided .

As a result,

Domain of

All the second elements of all the ordered pairs of , i.e., y, are included in the range of R.

Also provided y

So now,

Now multiply both L.H.S. and R.H.S. by 2,

We have,

Now add L.H.S. and R.H.S. with 7,

We have,

Or,

Therefore,

Range of