Average
Rate of Change
ARC
The change in the value of a quantity divided
by the elapsed time. For a function, this is the change
in the yvalue divided by the change in the xvalue
for two distinct points on
the graph.
Any of the following formulas can be used.
ARC = average rate of change = \(\frac{{\Delta y}}{{\Delta x}} = \frac{{{y_2}  {y_1}}}{{{x_2}  {x_1}}} = \frac{{f\left( {{x_2}} \right)  f\left( {{x_1}} \right)}}{{{x_2}  {x_1}}} = \frac{{f\left( {x + h} \right)  f\left( x \right)}}{h}\)
Note: This is the same thing as the slope of the secant
line of a curve.
See
also
Instantaneous
rate of change, mean value theorem
