How did you decide whether to group this as a function, or not a function?

y = ± x
write it in a 9th grade level

To determine whether the equation y = ±x is a function or not, we can examine if there is more than one y-value corresponding to a single x-value.

In this equation, y = ±x, for each value of x, there are two possible y-values - one positive and one negative. For example, when x = 2, we have y = ±2. This means that there are two y-values (-2 and +2) for a single x-value (2).

Since one x-value can correspond to multiple y-values, this equation is not a function.