Consider the graph of the function f (x)=x²-x - 30. (a) Find the equation of the secant line joining the points (-4, -10), and (6, 0). (b) Use the Mean Value Theorem to determine a point c in the interval (-4, 6) such that the tang parallel to the secant line. C= (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. -20 -10 -20 10- -10 0 10 10- 20 -20 ** 0 -20 y -30 10 y 20 10- y -20 -10 10 20 0 X 10 -10 10- 10 -30 y 10 20

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