Question

What is the average rate of change of h(x) over the interval -13

Answer 1

The average rate of change of h(x) in the closed interval [ a, b ] is

Here [a, b ] = [ - 2, 2 ], thus
f(b) = f(2) = × 2³ - 2² = 1 - 4 = - 3
f(a) = × (- 2)³ - (- 2)² = - 1 - 4 = - 5
average rate of change = = =