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.