Chapter 13.4, Problem 27E

Graph each function, considering the domain, critical points, symmetry, relative extrema, regions where the function is increasing or decreasing, inflection points, regions where the function is concave upward or concave downward, intercepts where possible, and asymptotes where a pplicable. (Hint: In Exercise 21 , use the result of Exercise 1. In Exercises 25–27, recall from Exercise 68 in Section 11.1 on Limits that $\underset{x\to \infty }{\lim }{x}^n{e}^{-x}=0$.)

27. f(x) = (x − 1 )e^−x