# Question #686f7

Oct 27, 2016

Yes, this represents a function.
It can be written as $f \left(x\right) = - 2$

#### Explanation:

Yes, this represents a function.

It can be written as $f \left(x\right) = - 2$

However, as there is no $x$ term, no matter what $x$ value you choose, the answer for $y$ will be $- 2$

For EACH $x$-value there is only ONE $y$-value.
This is the definition of a function.

This is known as a 'many-to-one' function, because many $x$-values will have the same y-value.

Possible points of this function could be :

$\left(8 , - 2\right) , \left(3 , - 2\right) , \left(0 , - 2\right) , \left(- 5 , - 2\right) , \left(- 10 , - 2\right) \ldots . .$

If you draw this as a graph you will get a horizontal line passing through $y = - 2$ on the $y$-axis.

Any vertical line draw will intersect the graph at only 1 point.