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20 June, 08:45

Calculate the average rate of change of f (x) = 4x^2 + 3x + 5 on the interval [2,5]

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  1. 20 June, 10:41
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    31

    Step-by-step explanation:

    Average rate of change = Δf (x) / Δx = {f (x2) - f (x1) } / (x2 - x1)

    f (x2) - f (x1) = f (5) - f (a) = 4*5²+3*5+5 - (4*2²+3*2+5) = 4*25+15+5-16-6-5 = 93

    x2-x1 = 5 - 2 = 3

    average rate of change = Δf (x) / Δx = 93/3 = 31
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