Question

which of the following relations is a function? a( 5 ,1 )(,-2 4,) (1, 1) (-5, 2) b (1, 4) (-2, 2) 5,1) (-6,2) c (1, 01) (-2 3) ( 5, 1) (-2, 5) d )1, 4) (-2, 6) (1, 3) -6 2)

Answer 1

The relation is a function if every ordered pair has one value of x, which means x does not repeat

Let us study each relation

a) {(5, 1), (-2, 4), (1, 1), (5, 2)}

Since each ordered pair has a different value of x

There are 2 ordered pairs that have x = 5

This relation is not a function

b) {(1, 4), (-2, 2), (5, 1), (-6, 2)}

Since no repeated x in the ordered pairs

Then the relation is a function

c) There are 2 ordered pairs with x = -2

It is not a function

d) There are 2 ordered pairs with x = 1

It is not a function

The answer is b