MHF 401 Name Unit #3 Sketching Rational Functions (E) For the given the rational function K /20 A: identify the characteristics (Knowledge 20 marks) ll) sketch a graph of the function (Application 6 marks) x43 21-+51-12 [2] Characteristics Function [1] Domain: [1] x-Intercept(s): [1] y- intercept(s) [1] Vertical Asymptote(s) Behaviour of fix) near the V.A.(s) Show process work with test values [4] [1] Horizontal Asymptote(s) Behaviour of fx) near the H.A. [2] Show process work with test values Increase: Intervals of Increase or Docrease [2 Decrease Show process work necessary with test values: [4] Range [1] b) Sketch a graph of the function, Be sure to label all important information (including axis, equations for horizontal and vertical asymptotes, any x or y intercepts, any local maximum or minimum points [A6] 10 NA O OOC -10 -8 -6 -4 -29 2 4 6 8 10 TT NOOO AN