Question 2: Sketch the following function: f(x) = -3x+6 2 x-x-6 BY HAND. Determine the following characteristics, and communicate your process (Make sure to communicate these calculations, without having to look at the graph. The idea is that you can graph rational functions without technology, and have the algebra to prove it!): x-intercept(s) • y-intercept /11 vertical asymptote(s) horizontal asymptote behaviours at the asymptotes It's okay to check Desmos for the sketch of the function, but make sure it matches the information you have above.

Fig: 1