Question

Find the average rate of change of h (x) = -2x²-3x from x=2 to x = 4. Simplify your answer as much as possible.

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Answer 1

average rate of change of h(x) = -2x²-3x from x=2 to x=4 is the change in y over the change in x, which is (h(4) - h(2)) / (4 - 2).

h(2) = -2(2)² - 3(2) = -8 - 6 = -14
h(4) = -2(4)² - 3(4) = -32 - 12 = -44

So the average rate of change is (-44 - (-14)) / (4 - 2) = -30/2 = -15.