Question

-8 \cdot f(0) + 4 \cdot g(-8) = A coordinate plane. The x- and y-axes both scale by one. There is a graphed function, y equals f of x, which is made up of line segments. A line segment connects negative ten, negative one to negative nine, negative one. A line segment connects negative nine, negative one to negative seven, one. A line segment connects negative seven, one 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 negative three, negative three. A line segment connects negative three, negative three to negative two, negative one. A line segment connects negative two, negative one to zero, one. A line segment connects zero, one to one, one. A line segment connects one, one to two, negative one. A line segment connects two, negative one to four, negative one. A line segment connects four, negative one to five, zero. A line segment connects five, zero to six, negative two. A line segment connects six, negative two to eight, negative two. A line segment connects eight, negative two to nine, negative three. A line segment connects nine, negative three to ten, negative three.
There is another graphed function, y equals g of x, which is also made up line segments. A line segment connects negative ten, negative seven to negative nine, negative seven. A line segment connects negative nine, negative seven to negative seven, negative five. A line segment connects negative seven, negative five to negative six, negative five. A line segment connects negative six, negative five to negative five, negative six. A line segment connects negative five, negative six to negative four, negative six. A line segment connects negative four, negative six to negative two, negative eight. A line segment connects negative two, negative eight to one, negative eight. A line segment connects one, negative eight to two, negative seven. A line segment connects two, negative seven to three, negative seven. A line segment connects three, negative seven to four, negative five. A line segment connects four, negative five to five, negative six. A line segment connects five, negative six to seven, negative four. A line segment connects seven, negative four to eight, negative four. A line segment connects eight, negative four to nine, negative two. A line segment connects nine, negative two to ten, negative two.\[\small{2}\]
\[\small{4}\]
\[\small{6}\]
\[\small{8}\]
\[\small{\llap{-}4}\]
\[\small{\llap{-}6}\]
\[\small{\llap{-}8}\]
\[\small{2}\]
\[\small{4}\]
\[\small{6}\]
\[\small{8}\]
\[\small{\llap{-}4}\]
\[\small{\llap{-}6}\]
\[\small{\llap{-}8}\]
\[y\]
\[x\]
\[\blueD{y = f(x)}\]
\[\maroonD{y = g(x)}\]

Answer 1

f(0) = 1 (the graph has the point (0,1)).
g(-8) = -6 (on the segment from (-9,-7) to (-7,-5), the value at x = -8 is -6).

So -8·f(0) + 4·g(-8) = -8·1 + 4·(-6) = -8 - 24 = -32.