Unformatted text preview: Rates of Change
Section 3.7 Average Rate of Change
Average Rate of Change Let f be a function. The average rate of change of f(x) with respect to x as x changes from a to b is the value change in f ( x) f (b) − f (a )
change in x
b−a The average rate of change = slope of secant line joining (a, f(a)) and (b, f(b)) on the graph of f. Difference Quotient
Difference Quotient Let f be a function. The average rate of change of f over the interval from x to x + h is given by the difference quotient. f ( x + h) − f ( x )
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