Question

Decide whether the relation is a function:
{(-3, 7), (1, -8), (6, -6), (7-8), (12, 2)}

Answer 1

It is a function

Explanation:

A function is of the form:

`\left[\begin{array}{c}x_1&x_2&x_3\\-&-&-\\x_n\end{array}\right]`
`\left[\begin{array}{c}y_1&y_2&y_3\\-&-&-\\y_n\end{array}\right]`

Where each of the x values must be distinct.

The x values are referred to as domain while the y values are called range.

Having said that, the given data can be represented as follows:

`\left[\begin{array}{c}-3&1&6\\7&12\end{array}\right]` -----------
`\left[\begin{array}{c}7&-8&-6\\-8&2\end{array}\right]`

From the representation above, none of the x values are repeated.

Hence, it is a function