A friend has taken a function f(x) and applied the graphing strategy from today's lesson and obtained the following information. Give a sketch of any function y = f(x) for which all of the below information is true.

1. The domain of f(x) is (0,10)(10,).
2. The function f(x) has x-intercepts at x = 3 and x = 5, but no y-intercepts.
3. The function f(x) has a vertical asymptote, x = 0, and a horizontal asymptote, y = 0.
4. The critical numbers of f are x = 4,7,9.
5. The function f(x) is increasing on the intervals (0,4), (9,10), and (10,).
6. The function f(x) is decreasing on the intervals (4,7), (7,9).
7. The function f(x) has a local maximum at x = 7 and a local minimum at x = 9.
8. The function f(x) is concave up on the subintervals (6,7) and (8,10).
9. The function f(x) is concave down on the subintervals (0,6), (7,8), and (10,).
10. The function f(x) has inflection points at x = 6,7,8 (at x = 10 the definition of an inflection point does not apply because x = 10 is not in the domain of f).