[See Solution] For the function f(x)=(x+1)e^x find the following: (10 points for each problem) Horizontal or vertical asymptotes, if any Points of maximum


Question: For the function \[f(x)=(x+1){{e}^{x}}\] find the following: (10 points for each problem)

  1. Horizontal or vertical asymptotes, if any
  2. Points of maximum or minimum and the values of the function at these points
  3. Inflection points and the values of the function at these points
  4. Describe the behavior of the graph of this function

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