need answer for only E and F. will give high rating if done quickly and efficiently.

Consider the function x2 f ( x) = Vx2 + 1(x -3) a) Determine the domain of the function. b) Locate the x- and y- intercepts. c) Determine the end behavior. d) Determine whether f has any vertical asymptotes. e) Determine the intervals where f is increasing and where f is decreasing. Determine whether f has any local extrema. f) Determine the intervals where f is concave up and where f is concave down. Determine whether f has any inflection points. g) Use the above information to sketch a graph of f. Make sure to label any important points or asymptotes