Find the average rate of change for f(x)=x^3 x from 1 to 2 and the equation of the secant line containing (1,f(1)) and (2,f(2)). Please show all work. Solution rate of change of f(x) = 3x^2 average rate of change over (1,2) = 1(2-1) integration (3x^2) over(1,2) = 1*(8-1) = 7 points are (1,f(1)) and (2,f(2)) = (1,1) and (2,8) equation of the secant line = y-1=[8-1]/[2-1] (x-1) y-1=7(x-1) y=7x-6.