Final answer:
The graphed points where f(x) equals g(x) represent the intersection points of the two functions on a coordinate plane, and in contexts like economics, it could represent relationships between variables. Horizontal lines as function graphs indicate constant values for the given x range.
Step-by-step explanation:
When two functions f(x) and g(x) are graphed on a coordinate plane, the points where f(x) = g(x) represent the solution to the equation f(x) = g(x), which is where the graphs of the two functions intersect. The Cartesian coordinate system is a common system used for graphing such functions, using x and y axes with perpendicular unit vectors i and j. In the context of economics, functions can represent relationships between different factors, such as a GPA function depending on factors like class attendance or hours spent studying. Graphically, if f(x) is represented as a horizontal line on a graph for 0 ≤ x ≤ 20, and g(x) is another function graphed in the same interval, points of intersection would give us our solutions to f(x) = g(x). It's essential to note that a horizontal line graph means that the value of f(x) is constant for that range of x. The graphical method helps visualize where the outputs or 'y-values' of the functions are equal.