how to find poles and removable discontinuities and local extreme value

- 2 - 1. Task (36 points) Given is the function: f (x) = (x+2) e-0,5x Please identify by describing your solution: (a) the domain (definition range), (2 points) (b) the range, (3 points) (c) poles and removable discontinuities, (2 points) (d) kind of symmetry, (3 points) (e) the zeros with the x-axis and the y-axis, (3 points) (f) local extreme values (x- and y-values), (5 points) (g) inflection points, saddle points (x- and y-values), (4 points) (h) monotony, (3 points) (i) curvature characteristics (convexity and concavity), (3 points) (j) development at the edges of the domain, (3 points) (k) graph (in a short outline). (5 points)