Austin J.

asked • 02/08/17

Find the average rate of change

Find the average rate of change of the function from
x = 3 to x = 6.

f(x) = 10x2 + x

1 Expert Answer

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Kenneth S. answered • 02/08/17

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A.R.C.will be  [f(6) - f(3)] / (6-3).  Get to work evaluating and substituting!
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Austin J.

What you're saying is that it is (10(6)^2+(6)) - (10(3)^2+(3))/6-3 ??
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02/08/17

Kenneth S.

Well, almost!  the denominator (three), when written as 6-3, MUST BE ENCLOSED IN PARENTHESES..otherwise PEMDAS would prevail in a way that you would not want!
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02/08/17

Austin J.

so the answer would be 335?
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02/08/17

Kenneth S.

Great Scott!  My numerator comes out as 10(36) + 6 - 10(9) - 3 = 273.  And he denominator is 3. Answer is 91.
 
YOU NEED TO INVESTIGATE WHY YOUR SUBSTITUTION & differencing doesn't work!  You need to practice more, and harder, and catch up with the class--otherwise your entire school experience will be miserable.
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02/09/17

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