Question

Which of these statements best describes the relation shown in Item 1?

Answer 1

It is a many-to-one relation

Explanation:

Given

See attachment for relation

Required

What type of function is it?

The relation can be represented as:

`\left[\begin{array}{c}x\\ \\-5\\-2\\1\\5\end{array}\right]`
`\left[\begin{array}{c}y\\ \\10\\11\\4\\10\end{array}\right]`

Where

`x = domain` and
`y = range`

Notice that the range has an occurrence of 10 (twice)

i.e.

`(x_1,y_1) = (-5,10)` and
`(x_2,y_2) = (5,10)`

In function and relations, when two different values in the domain point to the same value in the range implies that, the relation is many to one.