Consider the graph of the function f(x) = x 2 x 12 (see figure). (a)

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Consider the graph of the function f(x) = x2 − x − 12 (see figure).

(a) Find the equation of the secant line joining the points (−2, −6) and (4, 0).

(b) Use the Mean Value Theorem to determine a point c in the interval (−2, 4) 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.

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Calculus Of A Single Variable

ISBN: 9781337275361

11th Edition

Authors: Ron Larson, Bruce H. Edwards

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