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Consider the function f(X) = V)? and the point P(4,2) 0n the graph f. (a) Graph 1' and the secant lines passing through the point
Consider the function f(X) = V\")? and the point P(4,2) 0n the graph f. (a) Graph 1' and the secant lines passing through the point P(4, 2) and Q(x, f(x)) for Xivalues of 3, 5, and 7. '0 40-8 4 1:} 2485 10 O I (b) 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(5, f(x))) (line passing through Q0, f(x))) (c) Use the results of part (b) to estimate the slope of the tangent line to the graph of f at P(4,2). :I Describe how to improve your approximation of the slope. 0 Define the secant lines with points closer to P. 0 Choose secant lines that are nearly vertical. 0 Define the secant lines with points farther away from P. 0 Choose secant lines that are nearly horizontal
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