Question

The following figure shows the entire graph of a relationship.
A coordinate plane. The x and y axes each scale by one. There is a graph that curves from left to right from the x value of negative eight to two. The graph curves from right to left from the x value of two to the x value of negative six. The graph curves from left to right from negative six to eight.
\[\small{1}\]
\[\small{2}\]
\[\small{3}\]
\[\small{4}\]
\[\small{5}\]
\[\small{6}\]
\[\small{7}\]
\[\small{\llap{-}2}\]
\[\small{\llap{-}3}\]
\[\small{\llap{-}4}\]
\[\small{\llap{-}5}\]
\[\small{\llap{-}6}\]
\[\small{\llap{-}7}\]
\[\small{1}\]
\[\small{2}\]
\[\small{3}\]
\[\small{4}\]
\[\small{5}\]
\[\small{\llap{-}2}\]
\[\small{\llap{-}3}\]
\[\small{\llap{-}4}\]
\[\small{\llap{-}5}\]
\[\small{\llap{-}6}\]
\[\small{\llap{-}7}\]
\[\small{\llap{-}8}\]
\[\small{\llap{-}9}\]
\[y\]
\[x\]
Does the graph represent a function?

Answer 1

No. It fails the vertical line test. For example the vertical line x = 0 meets the curve three times (the curve passes through x = 0 on each of the three described pieces), so a single x-value has multiple y-values.