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) [1.9, 2.1] (ii) [1.99, 2.01] (iii) [1.999, 2.001]

Question

A. (i) -7.91595; (ii) -7.99919599; (iii) -7.99999200; approaches -8.
B. (i) -0.04; (ii) -0.0004; (iii) -0.000004; approaches 0.
C. (i) 0.04; (ii) 0.0004; (iii) 0.000004; approaches 0.
D. (i) -79.1995; (ii) -799.92; (iii) -7999.992; approaches 0.

Answer 1

Answer: C