Adding Functions Graphically

In the applet below, you can move the LARGE POINTS to change the positions of the graphs of the functions [b][color=#9900ff][i]f[/i] [/color][/b]and [i][color=#0000ff][b]g[/b][/color][/i]. The graph of the function [b][i]f[/i] + [i]g[/i] [/b]is also shown.
QUESTION:
How can we sketch the graph of the SUM OF 2 INDIVIDUAL FUNCTIONS when we're given only the graphs of these individual 2 function? Explain.
Quick (Silent) Demo
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Information: Adding Functions Graphically