Question

(1, 2), (2, -1), (3,0), (4, 1), and (5, 1) Do those points represent a function? Explain why or why not.

Answer 1

The relation is a function

Explanation:

Given

`(1, 2), (2, -1), (3,0), (4, 1),\ and\ (5, 1)`

Required

Determine if the points is a function or not

A relation can be expressed as:
`(x_1,y_1), (x_2,y_2),(x_3,y_3)......(x_n,y_n)`

Where

`x = domain`

`y = range`

When any domain element occurs more than once, then the relation is not a function.

The domain of the above points are:

`x = \{1,2,3,4,5\}`

In this case, no domain occur more than once; in other words, no x value occur more than once

Hence, the relation is a function