Let R = {(x, y): x, y ϵ Z and x 2 + y 2 ≤ 4}. (i) Write R in roster form. (ii) Find dom (R) and range (R).

Question

Philoid · Accepted Answer

Given: R = {(x, y): x, y ϵ Z and x² + y² ≤ 4}

(i) R is Foster Form is,

R = {(-2, 0), (-1, -1), (-1, 0), (-1, 1), (0, -2), (0, -1), (0, 0), (0, 1), (0, 2), (1, -1), (1, 0), (1, 1), (2, 0)}

(ii) Dom(R) = {-2, -1, 0, 1, 2}

Range(R) = {-2, -1, 0, 1, 2}