Question 824347
{{{f(x) = sqrt( 2x)}}}
{{{f(2) = sqrt( 2(2)) = sqrt(4) = 2}}}
{{{f(8) = sqrt(2(8)) = sqrt(16) = 4}}}<br>
So the function f includes the points (2, 2) and (8, 4). The average rate of change is simply the slope between these points:
avg. rate of change = {{{(4-2)/(8-2) = 2/6 = 1/3}}}