Midtown High School Name Calculus Period Problem Set - Rates of Change 1) a) Calculate the average rate of change of 2) Approximate the instantaneous rate of change in f(x) = 3x2 + 4x + 2 on each of the following f (x) = x3 at the point (2,8). intervals. [0,1] [0.5,1] [0.9,1] [0.99,1] b) Approximate the instantaneous rate of change in f at x = 1.. In exercise 3 - 5, refer to the graph of the function 3) Find the slope of the secant line through (2, f (2)) f shown below. and (2.5, f (2.5)). 3.0 2.5 f( x ) 2.0 1.5 1.0 Is it smaller or larger than the slope of the tangent to 0.5 f at x = 2? 0.5 1.0 1.5 2.0 2.5 3.0