f(x)= 9x^4-2x^3-36x^2+8x/3x^3+x^2-14
-Factor the numerator and denominator of f(x) completely. -Writethe domain of f(x) in interval notation. -Locate all hole(s), ifany, and write them in the form of coordinate pairs. -Locate allvertical asymptote(s), if any, and give their equations in the formx = c. For each one, describe what happens to f(x) as x approachesc from the left(-), and as x approaches c from the right (+).-Locate the horizontal/slant asymptote, if any, and give itsequation in the form y = b (or y = mx+b). -Locate all x- andy-intercepts of f(x), if any, and give as coordinate pairs.-Construct a sign diagram and use test points to determine on whichintervals f(x) is positive and negative. -Use all of thisinformation to draw a sketch of the graph. Label all asymptotes,holes, and intercepts, as well as axes and tick marks.
