Question:
Given R = {(x, y) : x, y ∈ W, x2 + y2 = 25}. Find the domain and Range of R.
Solution:
According to the question,
R = {(x, y) : x, y ∈W, x2 + y2 = 25}
R = {(0,5), (3,4), (4, 3), (5,0)}
The domain of R consists of all the first elements of all the ordered pairs of R.
Domain of R = {0, 3, 4, 5}
The range of R contains all the second elements of all the ordered pairs of R.
Range of R = {5, 4, 3, 0}