Consider the function f(x) = √x and the point P (4, 2) on the graph of f

secant-lines-passing

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Consider the function f(x) = √x and the point P (4, 2) on the graph of f.
(a) Graph f and the secant lines passing through P (4, 2) and Q(x,f(x)) for x-values of I, 3, and 5.
(b) Find the slope of each secant line.
© 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.

Answer:


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