Question: Consider the function y=xe^-x^2 Find the domain of the function and any symmetery. a. What are the critical points and intervals of increasing and decreasing.

Consider the function y=xe^-x^2

  1. Find the domain of the function and any symmetery.

a. What are the critical points and intervals of increasing and decreasing.

b. What are the intervals of concavity (where is it concave up and concave down) State any inflection points?

c. Find all of the vertical and horizontal asymptopes (use L'Hopital's rule).

d. Graph the function.

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