please explain steps to solving. thanks :)

2x2 + 2.7: + 4 x2 - x - 12 graphing using a graphing device and finding the answers will result in zero points. 12. (15 points) Let f(x) = . Use algebra techniques to find each of the following. Simply (a) Find the domain of f and write it using correct interval notation. (b) Find the intercepts of f (c) Find all asymptotes of f and describe them using arrow notation. (d) Make a chart showing the sign analysis on f (e) Use the information found above to draw an accurate graph of f