This question is about calculus. Please show all working for all parts of the question.

x2 + 4x + 5 1 Consider the function f (x) = =x+2+- x+2 x+2 Answer all of the following questions: a) Calculate any x-intercepts and y-intercepts of f (x) . b) Calculate any vertical asymptotes. c) Find any other asymptotes of the graph of f (x) . d) Determine the open intervals on which f(x) is increasing and decreasing. Locate any relative extrema. e) Determine the open intervals on which f(x) is concave up and concave down. Locate any points of inflection. f) Sketch the graph of f(x) labeling the information calculated above