Question

The following figure shows the entire graph of a relationship.
A coordinate plane. The x- and y-axes both scale by one. There is a graph of a line that starts at negative eight, eight and goes through eight, zero.
\[\small{1}\]
\[\small{2}\]
\[\small{3}\]
\[\small{4}\]
\[\small{5}\]
\[\small{6}\]
\[\small{7}\]
\[\small{\llap{-}2}\]
\[\small{\llap{-}3}\]
\[\small{\llap{-}4}\]
\[\small{\llap{-}5}\]
\[\small{\llap{-}6}\]
\[\small{\llap{-}7}\]
\[\small{1}\]
\[\small{2}\]
\[\small{3}\]
\[\small{4}\]
\[\small{5}\]
\[\small{6}\]
\[\small{7}\]
\[\small{8}\]
\[\small{9}\]
\[\small{\llap{-}2}\]
\[\small{\llap{-}3}\]
\[\small{\llap{-}4}\]
\[\small{\llap{-}5}\]
\[y\]
\[x\]
Does the graph represent a function?

Answer 1

Yes. For each x between -8 and 8 the graph gives exactly one y (it passes the vertical line test). The line segment has equation y = -1/2 x + 4, with domain [-8, 8] and range [0, 8].