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2. Given the function f(x) = x4 - 4x - 8. (a) Show that there is a root of f(x) = 0 in the interval [-2, -1]. (b) Given that f(x) = (x − 2)(x³ + ax² + bx + c), find the values of the constants a, b and c. (c) Find the coordinates of the turning point on the graph of y= f(x) if we know that its coordinates are integers. (d) Sketch the graph of y= f(x).

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