Expectations: C2.1 identify key characteristics of the reciprocal of linear and quadratic functions, C2.2 identify key characteristics of rational functions with linear functions in the numerator and denominator, C2.3 sketch a simple rational function PART 1 CONTEXT: A student was away and missed the portion of the class on rational functions. Task: Put together a resource that they could follow to understand the key concepts related to the characteristics and the process for sketching rational functions. You are not only asked to include general information about rational functions such as finding intercepts and asymptotes, but also tips/tricks you've picked up along the way that helped you understand concepts. Product: You can choose to create a note, a slideshow, a tutorial video (so many on youtube for inspiration!), or any other idea that you think would be effective. It can also be a combination of these formats. Complete list of characteristics included (x-intercepts, y-intercept, vertical asymptotes, horizontal asymptotes, behaviour around asymptotes, domain, range) Includes both identifying characteristics and sketching Detailed descriptions/instructions for characteristics Correctness of examples/content PART 2 A degree 7 function has a cubic root at -3, a double root at -1, and linear roots at 1 and 3. a) Determine the equation of the family. b) Determine the equation of the member with a y intercept at -162