dentify Functions and the Vertical Line Test 10 Determine whether the following relation is a function. Type either "function" or "not function" in the space below. \( \{(-8,1)(-2,-4)(-2,5)(0,5)(3,-3)\} \) Enter the answer Check It \( \times \)

To determine whether the given relation is a function, we can apply the Vertical Line Test. A relation is a function if no vertical line intersects the graph of the relation at more than one point. In this case, the coordinates \((-2, -4)\) and \((-2, 5)\) both share the same x-value of \(-2\) but have different y-values. Therefore, a vertical line at \(x = -2\) would intersect at two points, indicating this relation is not a function. The answer is: not function. To further illustrate, think of a function as a vending machine: you press a button (the input), and only one specific snack (the output) is dispensed. If a button could deliver multiple snacks, that would be a chaotic vending machine! In our case, the x-value “-2” trying to give you two different y-values is just as confusing—hence, it’s a "not function" scenario.