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Rate of Change = Change in value/Change in time
to make this more clear, look at the line graph and pick two points of x. for example, we will use x=3 and x=1 in the equation f(x)=(x-3)^2
the average rate of change = change in y/change in x which equals function(b)-function(a)/b-a
with that, we get: f(3)-f(1)/3-1. this creates (3-3)^2-(1-3)^2/3-1
this simplies to 0-4/2 which equals -2 so the rate of change in f(x)=(x-3)^2 is -2.
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