SOLUTION: Someone please help me with this. Find the average rate of f(x)= 1/2x-3 between x=a and a+h
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Question 954473: Someone please help me with this. Find the average rate of f(x)= 1/2x-3 between x=a and a+h
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the average rate of f(x)= 1/2x-3 between x=a and a+h
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Average = (change in "Y")/(change in "x")
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Aver = [f(a+h)-f(a)] /[a+h - a]
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f(a+h) = (1/2)(a+h) - 3 = (1/2)a + (1/2)h - 3
f(a) = (1/2)a - 3
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Then f(a+h)-f(a) = (1/2)h
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Ans: Ave = [(1/2)h]/h = 1/2
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Comment:: Notice that the average is the slope of f(x)
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Cheers,
Stan H.
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