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

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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 the x-values of 1, 3, and 5. b.) Find the slope of each secant line c.) 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. 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 the x-values of 1, 3, and 5. b.) Find the slope of each secant line c.) 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.

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a To graph the function fx x we plot the points 00 11 42 93 and 164 and connect them smoothly To fin... View the full answer