Assignment : Chapter 5 Test: Rational Functions, Equations and Inequations

Answer the following question in the given picture with the right method.

x+2 1. For the rational function, f (x) = x- -4x -12 identify the following features. Show your work. [5K] a) x-intercept(s) b) y-intercept c) hole(s) d) vertical asymptote(s) e) horizontal / oblique asymptote(s)4. Solve the following rational inequality. State your answer in interval notation. [7A] x-2 x-4 X x - 6 5. Sketch the rational function f(x) = 2x(x +3)(x-2) and state the following features listed below. Be sure x -4 to label all holes, asymptotes and intercepts and show any work, factor tables or test points you used. [13A] vertical asymptote(s) b) hole(s) 10 c) horizontal or oblique asymptote(s) 8 d) x-intercept(s) e) y-intercept 6 f) end behaviours gl behaviours on both sides of the vertical asymptote, if applicable -10 8 -6 -4 -2 2 4 6 10 -2 -4 -G -106. State the equation of the rational function in the form /(x) = ax + b ex+d with the following conditions [4T] horizontal asymptote at y= ] vertical asymptote at x= = y-intercept at -3 x-intercept at 3 7. Armaan and Nazrat share a small cupcake making business. It takes Armaan 90 minutes to bake and decorate a batch of cupcakes. It takes Nazrat 2 hours to bake and decorate the same size batch of cookies. If they work together on a batch, how long will it take them? [5T] 8. Consider the following rational functions that have similar features. Which one doesn't belong with the rest of the group? Explain your answer. [4T] 3x f (x) =; E(x) - 2+1 (x + 1)(x +1) x2-x h(x) = = k(x) = 4(x+1)(x-2) 73-5 3x-2