Answer:
It is a many-to-one relation
Step-by-step explanation:
Given
See attachment for relation
Required
What type of function is it?
The relation can be represented as:
[tex]\left[\begin{array}{c}x\\ \\-5\\-2\\1\\5\end{array}\right][/tex] [tex]\left[\begin{array}{c}y\\ \\10\\11\\4\\10\end{array}\right][/tex]
Where
[tex]x = domain[/tex] and [tex]y = range[/tex]
Notice that the range has an occurrence of 10 (twice)
i.e.
[tex](x_1,y_1) = (-5,10)[/tex] and [tex](x_2,y_2) = (5,10)[/tex]
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.