Question: 1. Find the equation of a quartic function with zeros -1, 3, 3, 6 and a y intercept of 6. 2. Sketch any 6th degree

1. Find the equation of a quartic function with zeros -1, 3, 3, 6 and a y intercept of 6. 2. Sketch any 6th degree function with zeros of: -3 (order 2), 2, 6 (order 3) and having a negative leading coefficient. (4 marks) 3. Two Truths and a Lie - two of the functions below are possible and one is impossible. Indicate the "LIE" and then sketch the other two functions showing MAXIMUM number of turning points (be sure to label them). a) Sketch a 4th degree function with a negative first coefficient and exactly one zero. b) Sketch a 5th degree function with a negative first coefficient and no zeros. c) Sketch a 6th degree function with a negative first coefficient and no zeros.4. Divide the function g(x) = 5x4 - 20x2 - 15x - 3 by x - 4 5. Factor then sketch ONE of the following-CHOOSE ONE (6 marks cubic, 8 marks quartic). f(x) = 2x3 - 3x2 - 11x + 6 p(x) = - 2x4 + 11x3 - 11x2 - 15x + 9 6. Solve (2x+3)(x-1)(x)(3x-2) > 0

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