5 \cdot f(1) + 5 \cdot g(9) =5⋅f(1)+5⋅g(9)=5, dot, f, left parenthesis, 1, right parenthesis, plus, 5, dot, g, left parenthesis, 9, right parenthesis, equals
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 six to negative eight, negative six. A line segment connects negative eight, negative six to negative seven, negative seven. A line segment connects negative seven, negative seven to negative six, negative seven. A line segment connects negative six, negative seven to negative five, negative six. A line segment connects negative fix, negative six to negative three, negative six. A line segment connects negative three, negative six to negative two, negative five. A line segment connects negative two, negative five to negative one, negative seven. A line segment connects negative one, negative seven to zero, negative five. A line segment connects zero, negative five to two, negative five. A line segment connects two, negative five to three, negative three. A line segment connects three, negative three to four, negative three. A line segment connects four, negative three to five, negative two. A line segment connects five, negative two to six, negative three. A line segment connects six, negative three to seven, negative two. A line segment connects seven, negative two to eight, negative two. A line segment connects eight, negative two to ten, negative four.
There is another graphed function, y equals g of x, which is also made up line segments. A line segment connects negative ten, one to negative nine, two. A line segment connects negative ten, zero to negative nine, zero. A line segment connects negative nine, zero to negative eight, two. A line segment connects negative eight, two to negative seven, three. A line segment connects negative seven, three to negative six, three. A line segment connects negative six, three to negative five, two. A line segment connects negative five, two to negative four, zero. A line segment connects negative four, zero to negative two, negative two. A line segment connects negative two, negative two to negative one, negative two. A line segment connects negative one, negative two to zero, negative one. A line segment connects zero, negative one to two, negative one. A line segment connects two, negative one to three, one. A line segment connects three, one to four, negative one. A line segment connects four, negative one to five, negative two. A line segment connects five, negative two to six, negative two. A line segment connects six, negative two 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 six. A line segment connects nine, negative six to ten, negative five.