Consider the function f(x) = = √x and the point P(4, 2) on the graph f. (a) Graph f and the secant lines passing through the point P(4, 2) and Q(x, f(x)) for x-values of 3, 6, and 7. 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(6, f(x)) line passing through Q(7, f(x)) (b) Use the results of part (b) to estimate the slope of the tangent line to the graph of f at P(4, 2).
Consider the function f(x) = = √x and the point P(4, 2) on the graph f. (a) Graph f and the secant lines passing through the point P(4, 2) and Q(x, f(x)) for x-values of 3, 6, and 7. 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(6, f(x)) line passing through Q(7, f(x)) (b) Use the results of part (b) to estimate the slope of the tangent line to the graph of f at P(4, 2).
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 8T
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Use the results of part (b) to estimate the slope of the tangent line to the graph of f at P(4, 2).
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