Curve Sketching To visualize the stock price behaviour you need to graph this rational function that models the behaviour of the function in the next few years. [8] Given: +4 = 4x x² +9 y = dy 4(9-x²) dx (x² +9)² d²y_8x(x²-27) dx² (x² +9)³ a) Graph the function by first determining the intervals of increase and decrease, the intervals of concavity and any local extrema or points of inflection. b) What asymptotes does this function have? What happens to the stock price over time?