The graphs of the functions f and g are shown in the figure.
The x y coordinate plane is given. There are 2 functions on the graph.
The function labeled f consists of 3 line segments. Function f begins at the point (−2, 0.5), goes linearly down and right to the origin where it sharply changes direction, goes linearly up and right, passes through the point (1, 2), sharply changes direction at the point (2, 4), goes linearly down and right, passes through the point (5, 3), and ends approximately at the point (7, 2.3).
The function labeled g consists of 2 line segments. Function g begins at the point (−2, 4), goes linearly down and right, passes through the point (-1, 3), crosses the y-axis at y = 2, passes through the point (1, 1), sharply changes direction at the point (2,0), goes linearly up and right, passes through the point (5, 2), and ends approximately at the point (7, 3.2).
Let u(x) = f(x)g(x) and
v(x) =
f(x)
g(x)
.