MHF4U Rational Functions Practice Test 1. [6K] Given determine the equations of all asymptotes, coordinates of hole(s), y- intercept and zeros. 2. [4K] Solve without the use of a graphing calculator. Show all work. 3. [2K] Is this the graph of a reciprocal function of a linear or a quadratic function? Explain how you know. y 5 4 3 2 1 –5 –4 –3 –2 –1 –1 –2 –3 –4 –5 1 2 3 4 5 x 4. [2K, 2A] This is the graph of f(x) and . For what interval(s) is g(x)? y x 5. [3A] State the equation of a rational function if the vertical asymptote is x = 5, the horizontal asymptote is y = 2, the x-intercept is and the y-intercept is . 6. [2A] Mrs.Rivenell says that the average rate of change between x = -6 and x = -3 for the function is 0.5. Mr.Blakely disagrees. With whom do you side and why? 7. At a small clothing company, the estimated cost function for producing a new line of jeans is C(x) = , where x is the number of pairs of jeans produced, in thousands. C(x) is measured in dollars. a. [1K] Calculate the cost of a pair of jeans at a production level of 3000 pairs. b. [3K] Determine the rate at which the cost is changing at a production level of 3000 pairs of jeans using any method. Show all work. 8. [4A] Given y = f(x) and the equations of the vertical and horizontal asymptotes. Determine a possible equation. Show all work. Graph is NOT to scale. Solution must be independent of a graphing calculator. y 5 4 (5, 3) 3 2 1 –14 –12 –10 –8 –6 –4 –2 –1 –2 –3 –4 –5 (1, 0) 2 4 6 8 10 12 14 16 18 20 x