Answer the following questions please.

The following table gives the percent of the US population living in urban areas as a function of year. The figure below shows the graph of f. Match the derivatives in the table with the points a, b, c, d, e. Year 1800 1830 1860 1890 1920 1950 1980 1990 2000 Percent 6.3 8.1 22.8 38.8 54.8 66.4 73.3 74.8 79.5 (a) Find the average rate of change of the percent of the population living in urban areas between 1890 and 1990. percent/year (b) Estimate the rate at which this percent is increasing at the year 1990. s' ( x ) percent/year (c) Estimate the rate of change of this function for the year 1830 and explain what it is telling you. Between i and i percent/year. (d) Is the function increasing or decreasing? The function is increasing - 2 The graph of g(x) is shown in the figure. Which is larger in each of the following pairs? The graph of y = f (x) is in the figure below. Does the function f (x) appear to be continuous on the given interval? (a) Average rate of change between x = 0 and x = 2, or between x = 2 and x = 5? f(x) The average rate of change is larger between Choose one - x (b) g(1) or g(4)? 2 Choose one (a) 0