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Question 944431: For the function f(x) = -x^2+3x+5 , find the average rate of change of f from 1 to 4.
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! For the function f(x) = -x^2+3x+5 , find the average rate of change of f from 1 to 4.
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when x = 1:
f(1) = -1^2+3(1)+5 = -1+3+5 = 7
first point: (1,7)
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when x = 4:
f(4) = -4^2+3(4)+5 = -16+12+5 = 9
second point: (4,9)
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"average rate of change" is essentially the slope between the two points:
rise/run=(y2-y1)/(x2-x1) = (9-7)/(4-1) = 2/3
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answer: 2/3
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