Find the average rate of change of the function over the given interval, then find the equation in y = mx + b form of the secant line for that interval. Show all work.

Question

1) f(x)=x2 -2x+2; [2,3]
Average rate of change: _____ Equation of secant line: _____________________

Answer 1

avg slope is (f(3)-f(2))/(3-2) = 5-2 = 3
So now you have a point and a slope, so an equation is
y-2 = 3(x-2)
and you can take it from there.