3.7 Rates of Change

3.7 Rates of Change - Rates of Change Section 3.7 Average...

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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 ) h Joke Time Joke Time How do you catch a “unique” rabbit? “Unique” up on him! How do you catch a “tame” How do you catch a “tame” rabbit? The “tame” way! ...
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This note was uploaded on 12/01/2011 for the course MATH 111 taught by Professor Stuff during the Winter '11 term at BYU.

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