Question

1. Which of the following relations are functions?

Give reasons.
(a) R1 = {(1, 7) (2, 7) (4, 7) (6, 7)}
(b) R2 = {(1, 2) (1, 3) (1, 4) (1,5)}
(c) R3 = {(x, y) (y, z) (z, t) (t, v)}

Answer 1

R1 = {(1, 7) (2, 7) (4, 7) (6, 7)}

R3 = {(x, y) (y, z) (z, t) (t, v)}

R1 and R3 are functions because first element in the ordered pair is not repeating, i.e they have unique images