Consider the graph of the function f (x) = x² - x - 42. (a) Find the equation of the secant line joining the points (-5, -12), and (7, 0). (b) Use the Mean Value Theorem to determine a point c in the interval (-5, 7) such that the tangent line at c is parallel to the secant line. (C) Find the equation of the tangent line through c. (d) Use a graphing utility to graph f, the secant line, and the tangent line. 10 10 30 20 30

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