Question 1158575

Definition of average rate of change a function {{{g(x)}}} over an interval [{{{a}}},{{{b}}}]:

{{{A = (g(b)-g(a))/(b-a)}}}

given {{{a=6}}} and {{{b=8}}}

{{{g(6) = -x^2 - 4x=-6^2-4*6=-36-24=-60}}}
{{{g(8) = -x^2 - 4x=-8^2-4*8=-64-32=-96}}}

{{{A = (-96-(-60))/(8-6)}}}

{{{A = (-96+60)/2}}}

{{{A = -36/2}}}

{{{A = -18}}}