Question

Select all input values for which
\[g(x)=4\].
A coordinate plane. The x- and y-axes both scale by one. There is a graphed function, y equals g of x, which is made up of line segments. A line segment connects negative ten, negative three to negative six, one. A line segment connects negative six, one to negative four, negative one. A line segment connects negative four, negative one to zero, three. A line segment connects zero, three to one, two. A line segment connects one, two to two, zero. A line segment connects two, zero to three, one. A line segment connects three, one to four, negative three. A line segment connects four, negative three to five, one. A line segment connects five, one to six, zero. A line segment connects six, zero to seven, one. A line segment connects seven, one to eight, one. A line segment connects eight, one to nine, four. A line segment connects nine, four to ten, six.\[\small{1}\]
\[\small{2}\]
\[\small{3}\]
\[\small{4}\]
\[\small{5}\]
\[\small{6}\]
\[\small{7}\]
\[\small{8}\]
\[\small{9}\]
\[\small{\llap{-}2}\]
\[\small{\llap{-}3}\]
\[\small{\llap{-}4}\]
\[\small{\llap{-}5}\]
\[\small{\llap{-}6}\]
\[\small{\llap{-}7}\]
\[\small{\llap{-}8}\]
\[\small{\llap{-}9}\]
\[\small{1}\]
\[\small{2}\]
\[\small{3}\]
\[\small{4}\]
\[\small{5}\]
\[\small{6}\]
\[\small{7}\]
\[\small{8}\]
\[\small{9}\]
\[\small{\llap{-}2}\]
\[\small{\llap{-}3}\]
\[\small{\llap{-}4}\]
\[\small{\llap{-}5}\]
\[\small{\llap{-}6}\]
\[\small{\llap{-}7}\]
\[\small{\llap{-}8}\]
\[\small{\llap{-}9}\]
\[y=g(x)\]
\[y\]
\[x\]

Answer 1

9

Explanation: The graph's y-value equals 4 only at the point (9,4); no other segment or endpoint attains y = 4.