As we noted in the chapter opener, experts fear that without conservation efforts, tigers could disappear from the wild by 2022. Just one hundred years ago, there were at least 100,000 wild tigers. By $2010,$ the estimated world tiger population was $3200 .$ The bar graph shows the estimated world tiger population for selected years from 1970 through $2010 .$ Also shown is a polynomial function, with its graph, that models the data. Use this in formation to solve this.
a. Find and interpret $f(40)$. Identify this information as a point on the graph of $f$
b. Does $f(40)$ overestimate or underestimate the actual data shown by the bar graph? By how much?