Consider the function f(x) = 4x − x² and the point P(1, 3) on the graph of f. (a) Graph fand the secant lines passing through P(1, 3) and Q(x, f(x)) for x-values of 2, 1.5, 0.5. Find the slope of each secant line. line passing through Q(2, f(x)) line passing through Q(1.5, f(x)) line passing through Q(0.5, f(x)) (b) Use the results of part (a) to estimate the slope of the tangent line to the graph of fat P(1, 3). 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 Define the secant lines with points closer to P. Choose secant lines that are nearly vertical. MY NOTES ASK YOUR TI

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