Properties of Relations and Functions

Is the function one-to-one: f = {(1, 2), (2, 3), (3, 4), (4, 1)}?

• No

• Yes

Is the function one-to-one correspondence: h = {(1, 2), (2, 3), (3, 4), (4, 1)}?

• Yes

• No

Is the function one-to-one: f = {(a, b), (b, c), (c, d), (d, a)}?

• No

• Yes

Is the relation reflexive: R = {(1, 1), (2, 1), (1, 2), (2, 2), (3, 3), (3, 1), (4, 4)}?

• No

• Yes

Is the relation transitive: S = {(2, 3), (1, 2), (3, 1)}?

• Yes

• No

Is the relation transitive: S = {(d, c), (a, c), (a, d)}?

• Yes

• No

Is the function onto: g = {(1, 2), (4, 1), (2, 3), (3, 4)}?

• No

• Yes

Is the relation symmetric: T = {(1, 2), (3, 4), (4, 3), (2, 1)}?

• Yes

• No

Is the relation transitive: S = {(d, c), (c, c), (a, c), (a, d)}?

• Yes

• No

Is the function one-to-one: f = {(1, 2), (4, 4), (2, 3), (3, 4)}?

• Yes

• No