Question

Use the vertical line test (VLT) to determine if the following graph is a function. Image attached.

Answer 1

if it passes the VLT, it is a function. if it doesn't, it's not a function.
what is the issue?

Answer 2

What's weirding me out is the shape of the graph; it's not connected. I've never seen a graph like this. :/ @pgpilot326

Answer 3

doesn't matter... could be a piecewise function.

for example:
\[f \left( x \right)=\left\{ \begin{matrix}x,\,\,\,\,\,\, x \le 3\\ -x, \,\,\,\,\,\, x \ge 3\end{matrix} \right\}\]

Answer 4

sorry, first domain should be less than or equal to -3

Answer 5

So, I need to look at them as two separate pieces? Therefore, since they are still parallel lines, they both pass the VLT, which means it is a function? @pgpilot326

Answer 6

Sorry, by parallel I mean vertical, or lines that can pass the VLT.

Answer 7

Got it! Thank you!!!! @pgpilot326