Problema Solution
determine the average rate of change of the function f(x)=-2x^2+5 over the
interval from x=1 to x=4
Answer provided by our tutors
(f(4) - f(1))/(4 - 1) = (1/3)(-2*4^2 + 5 - (-2*1^2 + 5)) = (1/3)(-2*16 + 5 - (-2 + 5)) = (1/3)(-32 + 5 - (+ 3)) =
= (1/3)(- 27 - 3) = -30/3 = - 10