Answer:
[tex]\text{Not a function.}[/tex]
Step-by-step explanation:
[tex]\text{First of all, let's list all the coordinates plotted in the graph.}\\\text{(-16, 4)}\\\text{(-12, -16)}\\\text{(-8, 12)}\\\text{(-8, -8)}\\\text{(4, 8)}\\\text{(8, -8)}\\\text{(16, 16)}[/tex]
[tex]\text{Here, we can see that when }x=\text{-8}, y=12\text{ or }y=\text{-8}\text{. So, an }x-\text{value has two}\\y-\text{values, so this is not a function.}[/tex]
[tex]\text{In other words, this relation fails the vertical line test. Which means, if you }\\\text{draw a vertical line after connecting all the points, the vertical line would }\\\text{intersect the function at two points, i.e. (-8, 12) and (-8, -8). So the graph }\\\text{will not be a function.}[/tex]
