Calculate the average rate of change of f on each interval. What happens to this average rate of change as the interval decreases in length?f(x) = -4x2 + x4(i) [-2.1, -1.9] (ii) [-2.01, -1.99] (iii) [-2.001, -1.999]

A. (i) 0.04; (ii) 0.0004; (iii) 0.000004; approaches 0.
B. (i) -0.04; (ii) -0.0004; (iii) -0.000004; approaches 0.
C. (i) -79.1995; (ii) -799.92; (iii) -7999.992; approaches 0.
D. (i) -7.92395; (ii) -7.99920400; (iii) -7.99999200; approaches -8.


Answer: B

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