2 The values of a function f are given in the following table X 10 20 30 y = f(x) 125 119 a) Knowing that f'(30) = -10, use the (local) linear approximation to estimate f (32). b) Find the average rate of change Ay/Ar over the intervals [10, 20] and [20, 30]. c) Based on the knowledge from b), does dy/do appear to be negative or positive ? d) Based on the knowledge from b), does dy/do appear to be increasing or decreasing ? e) Based on the knowledge from d), does d'y/dr appear to be negative or positive ? f) Suppose the graph of f is a continuous curve over the interval [10, 30). Based on the knowledge from c), does f appear to be increasing or decreasing ? Based on the knowledge from e), does the graph of f appear to be concave up or concave down