Answer:
The relation {(1, 1), (3, 2), (6,3), (8,4)} is also a function ⇒ D
Explanation:
The relation formed from a set of ordered pairs could be a function if every x-coordinate has only one y-coordinate corresponding to it
Examples:
- The relation {(1, 3), (-2, 5), (1, -2)} is not a function because x = 1 has two values of y 3 and -2
- The relation {(2, -3), (-2, 0), (1, 5)} is a function because x = 2 has only y = -3, x = -2 has only y = 0, and x = 1 has only y = 5
Let us check all the relation to find which one is a function
∵ The relation is {(1, 6), (1, 7), (7, 8), (8, 9)}
∵ At x = 1, y = 6 and 7
→ x has two values of y
∴ The relation is not a function
∵ The relation is {(2, 3), (3, 2), (2, 4), (4, 2)}
∵ At x = 2, y = 3 and 4
→ x has two values of y
∴ The relation is not a function
∵ The relation is {(0, 1), (0, 2), (0, 3), (0,4)}
∵ At x = 0, y = 1, 2, 3, and 4
→ x has four values of y
∴ The relation is not a function
∵ The relation is {(1, 1), (3, 2), (6,3), (8,4)}
∵ At x = 1, y = 1
∵ At x = 3, y = 2
∵ At x = 6, y = 3
∵ At x = 8, y = 4
→ Every x has only one value of y
∴ The relation is a function
∴The relation {(1, 1), (3, 2), (6,3), (8,4)} is a function