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(The black and white graphs are screen captures from a
TI-92 graphing calculator. The other graphical images are
screen captures from the digital editing software SAW Plus.)
What are damping functions?
The best way to explain them
is to show you some examples...
Look at the function f(x)
= x*sin(10x).
(The * is being
used to indicate multiplication.)
Ignoring the first factor,
x, for a minute, the
graph of g(x)
= sin(10x)
looks like:
(graphing window: x on [-7,7], y on [-4,4])
So, what does multiplying by
the x
do? Let's find out by graphing the whole thing!
f(x) = x*sin(10x)
(graphing window: x on [-7,7], y on [-4,4])
Man! It really changed! Look back
up at our first graph. Do you see what happened?
Continued on the
next
page
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