Question

-2 \cdot f(-6) - 7 \cdot g(-7) = 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, six to negative nine, four. A line segment connects negative nine, four to negative eight, five. A line segment connects negative eight, five to negative six, five. A line segment connects negative six, five to negative four, three. A line segment connects negative four, three to negative three, one. A line segment connects negative three, one to negative two, zero. A line segment connects negative two, zero to zero, two. A line segment connects zero, two to one, zero. A line segment connects one, zero to six, zero. A line segment connects six, zero to seven, two. A line segment connects seven, two to eight, one. A line segment connects eight, one to nine, one. A line segment connects nine, one to ten, zero. There is another graphed function, y equals g of x, which is also made up line segments. A line segment connects negative ten, negative three to negative nine, negative four. A line segment connects negative nine, negative four to negative eight, negative three. A line segment connects negative eight, negative three to negative seven, negative three. A line segment connects negative seven, negative three to negative six, negative two. A line segment connects negative six, negative two to negative five, negative three. A line segment connects negative five, negative three to negative four, negative two. A line segment connects negative four, negative two to negative three, zero. A line segment connects negative three, zero to negative one, negative two. A line segment connects negative one, negative two to zero, negative four. A line segment connects zero, negative four to one, negative three. A line segment connects one, negative three to two, negative three. A line segment connects two, negative three to three, negative four. A line segment connects three, negative four to four, negative four. A line segment connects four, negative four to five, negative five. A line segment connects five, negative five to six, negative five. A line segment connects six, negative five to seven, negative seven. A line segment connects seven, negative seven to eight, negative five. A line segment connects eight, negative five to nine, negative five. A line segment connects nine, negative five to ten, negative three.\[\small{2}\]
\[\small{4}\]
\[\small{6}\]
\[\small{8}\]
\[\small{\llap{-}4}\]
\[\small{\llap{-}6}\]
\[\small{\llap{-}8}\]
\[\small{2}\]
\[\small{4}\]
\[\small{6}\]
\[\small{8}\]
\[\small{\llap{-}4}\]
\[\small{\llap{-}6}\]
\[\small{\llap{-}8}\]
\[y\]
\[x\]
\[\blueD{y = f(x)}\]
\[\maroonD{y = g(x)}\]

Answer 1

f(-6) = 5 (point at (-6,5)).
g(-7) = -3 (point at (-7,-3)).

So -2·f(-6) - 7·g(-7) = -2·5 - 7·(-3) = -10 + 21 = 11.