Plot a graph of the rational function $f(x)=\frac{3x^{2}}{x^{2}-4}$ and label the coordinates of the stationary points and inflection points. Show the horizontal and vertical asymptotes and label them with their equations. Label point(s), if any, where the graph crosses a horizontal asymptote. Check your work with a graphing utility.

Enter the following information from your graph (for multiple answers enter each separated by commas {e.g (a) 0,2 or (c) (-2,3),(0,-4)} if no value enter "none".

(a) Vertical Asymptotes $x=$

(b) Horizontal Asymptotes $y=$

(c) Points where the graph crosses a horizontal asymptote $(x,y)=$

(d) Stationary Points $(x,y)=$

(e) Inflection Points $(x,y)=$