Question

f (x) = |x + 3| -1 . Find the average rate of change from x = -6 to x = 8

Answer 1

Average rate of change is (f(8) - f(-6))/(8 - (-6)) = ((|8 + 3| -1) - (|-6 + 3| -1))/(8 + 6) = ((|11| -1) - (|-3| -1))/14 = ((11 - 1) - (3 - 1))/14 = (10 - 2)/14 = 8/14 = 4/7