Question

If A = {5, 6, 7}, B = {1, 2, 3, 4, 5} and f: A → B is defined by f(x) = x – 2, then the range of f is …

(1) {1, 4, 5}

(2) {1, 2, 3, 4, 5}

(3) {2, 3, 4}

(4) {3, 4, 5}

Answer 1

(4) {3, 4, 5}

f(x) = x – 2

f(5) = 5 – 2 = 3

f(6) = 6 – 2 = 4

f(7) = 7 – 2 = 5

Range of f = {3, 4, 5}