Question

A relation contains the points (2, 4), (–9, 0), (–1, 7) and (2, –6). The relation is not a function. What x- or y-coordinate value could you change to make the relation a function?

Answer 1

We have to change the 'x' value of the point (2, -6) to 3 so the new point is (3, -6).

Explanation:

Given:

The relation is given as:

{(2,4), (-9, 0), (-1, 7), (2, -6)}

The above set is not a function because the 'x' value of 2 has two images or 'y' values.

For
`x=2,y=-6\ and\ 4`

So, this is not a function as for a function each 'x' value should have a unique 'y' value.

In order to make the above relation a function, we need to change the 'x' value of either of the points (2, 4) or (2, -6). Let's change the point (2, -6). We change the value of 'x' such that it doesn't equals any of 'x' values of the given set. So, we can't take 'x' values as 2, -9, and -1. We can take any other value. So, let us take 3 as the value. So, the point becomes (3, -6).

Now, the given relation is a function as each 'x' value has unique 'y' value.

(2, 4), (-9, 0), (-1, 7) and (3, -6)