Let y F(x) (a) Use long division to show that (b) The

Chapter 4, Problem 49

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Let y F(x) (a) Use long division to show that (b) The result in part (a) shows that the line y x 4 is a slant asymptote for the graph of the function F. Verify this fact empirically by completing the following two tables. x x 4 10 100 1000 (x x 4101001000(c) Determine the vertical asymptote and the x- andy-intercepts of the graph of F.(d) Graph the function F. (Use the techniques in thissection along with the fact that y x 4 is a slantasymptote.)(e) Use the technique explained in Exercise 46 to find thecoordinates of the two turning points on the graph of F.50

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