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Question 2 C Standard KAPS Your task is to investigate the graphs of simple polynomial functions. Graph the functions for y = xn for n = 2 to 7. Identify and clearly discuss the common properties of these graphs. Question 3 B Standard KAPS Further investigation of the graphs of some factorised polynomials. (a) Consider the polynomial family defined by y = (x + k1)(x + k2) where K1 and k2 are different non- zero integers. (i) What is the degree of all functions in this family? (ii) Choose values for the parameters K1 and K2 to define one of the functions in this family. Sketch this function. Repeat steps similar to (i) to (ii) from (a) for the polynomial families defined by: (b) y 1=(x+ky)(x = + k2)(x + k3) where K1, k2 and k3 are different non-zero integers. (c) y = (x + k1)(x + k2)(x + k3)(x+ K4) where K1, k2 k3 and K4 are different non-zero integers.

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