Addition and Subtraction of Functions
Addition of functions is a pointwise operation:
$(f + g)(x) = f(x) + g(x).$
Subtraction is defined similarly as
$(f - g)(x) = f(x) - g(x).$
In the applet below, the graphs of both $f\,$ and $g\,$ could be dragged up and down at any point. This will automatically change the result of the operation. The graph of $f\,$ is depicted in black and that of $g\,$ in green. For the sum $(f + g),\,$ I use blue, and for the difference $(f - g)\,$ red color. Thus of the three graphs only two -- the black and the green -- are draggable.
|What if applet does not run?|
Copyright © 1996-2018 Alexander Bogomolny