In: Math
let f(x)=(x^2 + 2x) / (x - 1)^2
a) Find the domain and if any intercepts
b)find the horizontal asymptotes
c) find the vertical asymptotes
d)find the intervals on which the function is increasing and decreasing and identify the function's local extreme values, critical values
e)identify the concavity and if any the point of inflection
f) graph the function