FundamentalsThe relationship between two quantities is often best modeled by a curved line rather than a straight line. The simplest function whose graph that is not straight line is a quadratic function. Notice that, in the example shown, the curves do not cross in the interval $[a, b]$. We focus on this case first. Consider $f(x) = %15$. Fill in the coordinates of the following points.
Enter dne for the coordinates of any point that does not exist. If there is only one $x$-intercept, enter it as the leftmost and enter dne for the coordinates of the rightmost.
ApplicationsThe population of Roman Catholic nuns in the U.S. during the last 25 years of the last century can be modeled by
$P(t) = %30$ thousand nuns $\qquad (5 \leq t \leq 25)$,
Only the non-game version of the model is reliable. Source for original data: Center for Applied Research in the Apostolate/New York Times, January 16, 2000, p. A1.
Revenue = Price $\times$ Quantity
$R = pq$.
$q = %40$
Now try the exercises in %4, some the %8, or move ahead to the next tutorial by pressing "Next tutorial" on the sidebar.