Question

Which relation is a function?

o {(4,0),(4,1),(4,2), (4,3)}
o {(7,4), (8,8), (10,8), (10,10)}
o {(-1,3), (-2,6),(0,0),(-2,-2)}
o {(2,2), (1,1),(0,0), (-2,-2)}

Answer 1

Given:

Different relations in the options.

To find:

The relation which is a function.

Solution:

A relation is a function if there exist unique output for each input value. In other words, there exist only one y-value for each x value.

In option A,
`y=0,1, 2, 3` for
`x=4`. So, this relation is not a function.

In option B,
`y=8, 10` for
`x=10`. So, this relation is not a function.

In option C,
`y=6, -2` for
`x=-2`. So, this relation is not a function.

In option D, all x-values are different. So, their exist unique output for each input value. It means this relation is a function.

Therefore, the correct option is D.