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Variable Length State Splitting with Applications to Average Alantro  Form

Variable Length State Splitting with Applications to Average Alantro Form

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in this lesson we're going to focus on calculating the average rate of change of a function over an interval so here's the formula the average rate of change is f of b minus f of a over b minus a on the interval a to b so a and b are x values f of a and f b you could think of them as the y values so first let's calculate f of a and f b in this example a is one b is three so let's calculate f of one we just need to plug it into this equation so it's going to be one squared plus four times one minus five so that's going to be one plus four minus five one plus four is five five minus five is zero so f of one is zero now what about f of three that's going to be three squared plus four times three minus five three squared three times three is nine four times three is twelve and 12 minus 5 is 7 so we have 9 plus 7 which is equal to 16. so that's f of 3. so now let's use this expression so that's going to be f of three minus f of one divided by three minus one f of three is sixteen f of one i

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