Name : MHF4U1 Unit 3: Rational Functions K/U APP COM TH /13 /13 /13 /12 KNOWLEDGE/UNDERSTANDING 1. Find the horizontal/slant asymptotes for the following rational functions: (3K] 2x - 7 (a) f(x) = 5x + 3 10 (b) f(x) = x+3 (c) x +7 2. Identify any holes in the graph of f(x) = 7x+ 49 . Graph the function. (3K] y - axis 10 9 -8 -7 6 -5 4 15 X - asis 13. Solve the following equality. Show a geometric representation of your solution. [3K] (a) x-5 = - 3- =-3 y - axis *10 9 -8 -7 6 3 4 -3 -2 -1 9 10 x - asis 4. Solve the following inequality. Show a geometric representation of your solution. x2+2x-6 3x-+2x-6 (a) x+2 -> 3 x+2 [4K] y - axis 10 9 -8 7 6 3 X - asis 2APPLICATI ON 1. Salt water flows into a large tank of pure water. The concentration ofthe salt in the tank att 6t 6t . . . C(t)=C(t)= . . . minutes IS given by 10\" 10H, were c Is measured In grams/liter. Properly label the axes. a. When does the concentration in the tank reach 5 grams/liter? b. When is the concentration of salt in the large tank less than 3 grams/litre? [7A] y - axis A I. x l 1 | FTTTjlfffflV .'l - US\" -| 7| .r. x 'l II: V 2. Mrs. Jung purchased a large box of cupcakes for S300. She shared 15 cupcakes with the teachers and then sold the rest to the students for 8330, making a prot of $1.50 on each one. How many cupcakes were there in the box? What was the original price of each cupcake? [6A] 1 1 0 (x _ 1) (x _ 4') . Explain how you would use a table to solve these inequalities. [7C] 1. Write an equation for the following scenarios: [8T] (a) A rational quadratic function with no VAs (b) A rational quadratic function with one VA (c) A rational quadratic function with two VAs (d) A rational quadratic function with a slant asymgtote ax+b f(X)= 2. Write an equation for a rational function whose graph of the form 037+ d has all the indicated features. [4T] 1 1 o Xintercept of 4 4 NIN NI . Y-intercept of X = - -X = WIN . VA with equation WIA . HA with equation 6