Part 2: Rational Functions Create your own rational function of the form f (x) = ax+ where a x 1, c # 1, b = 0 and d * 0. The equation of my rational function is: Then... a) State the equations of your vertical and horizontal asymptotes. Show your work on how you determined the equation of your vertical asymptote. (2 marks) b) State your function's domain and range. (2 marks) c) Determine the x and y intercepts of you function. Show your algebraic steps. (2 marks) d) Sketch a graph of your function and be sure to draw and label your asymptotes, and your x and y intercepts. (2 marks) e) Complete an end behaviour chart for your function. There are four ends that you need to describe the behaviour of. (2 marks) f) Determine when f(x) 2 5. You must solve this inequality algebraically. Show all your steps. (4 marks) Use a number line. g) Complete an interval chart for the function. [4 marks] Intervals Sign of f (x) Change in f (x) Change in Slope