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Consider the function f x x and the point P 4 2 on the graph...

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Calculus

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Consider the function f x x and the point P 4 2 on the graph 7 a Graph fand the secant lines passing through the point P 4 2 and Q x f x for x values of 1 5 and 8 Find the slope of each secant line Round your answers to three decimal places line passing through Q 1 f x line passing through Q 5 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 fat P 4 2 Describe how to improve your approximation of the slope Choose secant lines that are nearly horizontal Define the secant lines with points farther away from P Ochoose secant lines that are nearly vertical Define the secant lines with points closer to P

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