contestada

is a relation that is also a function.
{(1,6), (1,7), (7, 8), (8, 9)}
{(2,3), (3, 2), (2, 4), (4, 2)}
{(0, 1), (0, 2), (0, 3), (0,4)}
|{(1, 1), (3, 2), (6,3), (8,4)}

Respuesta :

Ashraf82

Answer:

The relation {(1, 1), (3, 2), (6,3), (8,4)} is also a function ⇒ D

Step-by-step 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

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