-ummarize the pertinent information obtained by applying the graphing strategy and sketch the graph of \( f(x)=5 x e^{-0.5 x} \) Type your answer in interval notation. Use integers or decimals for any numbers in the expression. Use a comma to separate answers as needed.) A. The function is increasing on B. The function is increasing on \( (-\infty, 2) \). It is decreasing on \( (2, \infty) \). C. The function is decreasing on A. It is never increasing. the location of any local extrema of \( f(x) \). Select the correct choice below and, if necessary, fill in the answer box local maximum at \( x=\square \) and there is a local minimum at \( x=\square \). (Type integers or decimals. Use a comma to separate answers as needed.) B. There is a local maximum choice. (Type an integer or a decimal. Use a comma to separate answers as needed.) C. There is a local minimum at \( x=\square \). There is no local maximum. (Type an integer or a decimal. Use a comma to separate answers as needed.) D. There are no local extrema.