If $R_1$ = {(x, y) | y = 2x + 7, where x ∈ R and -5 ≤ x ≤ 5} is a relation. Then find the domain and Range of $R_1$.

[-3, 17] [3, -17] [-3, 15] [3, 15]

[-3, 17]

We have, $R_1$ = {(x, y) | y = 2x + 7, where x ∈ R and -5 ≤ x ≤ 5} Domain of $R_1 ≡ {-5≤x≤5, x∈ R} ≡ [-5, 5]$ $∵ x ∈ [−5, 5], 2x ∈ [−10, 10]$ $⇒ 2x + 7 ∈ [-3, 17]$ Thus range is [-3, 17].