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Consider the function f(x) = v x and the point P(4, 2) on the graph f. (a) Graph f and the secant lines passing through

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Consider the function f(x) = v x and the point P(4, 2) on the graph f. (a) Graph f and the secant lines passing through the point P(4, 2) and Q(x, f(x)) for x-values of 3, 6, and 8. Find the slope of each secant line. (Round your answers to three decimal places. ) line passing through Q(3, f(x) ) line passing through Q(6, f(x) ) line passing through Q(8, f(x)) (b) Use the results of part (b) to estimate the slope of the tangent line to the graph of f at P(4, 2). Describe how to improve your approximation of the slope. Define the secant lines with points farther away from P. Choose secant lines that are nearly horizontal. O Choose secant lines that are nearly vertical. O Define the secant lines with points closer to P

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