Q12 of 65 Page 67

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

(i) Write R in roster form.


(ii) Find dom (R) and range (R).


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}


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