Suppose that the first and second derivatives of a function y=f(x) are given by: f'(x) = xex and f"(x) = ex(x+1). Which one of the following statements is true?
f(x) 0 There are no critical points and there is one inflection point. f(x) is increasing and opens down on (-00,-1) f(x) is increasing and opens up (0,0o) f(x)>O on (-00,-1) f(x) > O on (-00,0)