In: Math
Let f(x) = x / (4−x^2) .
(a) Find the domain and intercepts of f(x).
(b) Find all asymptotes and limits describing the end behavior of f(x).
(c) Find all local extrema and the intervals on which f(x) is increasing or decreasing.
(d) Find the inflection points and the concavity of f(x).
(e) Use this information to sketch the graph of f(x)