In 89-98, for each polynomial function f: 73. f(x) = (x -

Chapter , Problem 5.1.90

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In 89-98, for each polynomial function f: 73. f(x) = (x - l )(x - 2 ) (x + 4) 76. f(x) = x - x3 79. f(x) = (x + 2 ) 2(x - 2 )2 82. f(x) = (x + 1 )2(x - 3) (x - 1) 85. f(x) = x2(x - 2) (x2 + 3) 88. f(x) = -x2(x2 - 4) (x - 5) (a) Find the degree of the polynomial. D etermine the end behavior: that is, find the power function that the graph of f resembles for large values of lxl . (b) Graph f using a graphing utility. (c) Find the x- and y-intercepts of the graph, rounded to two decimal places. (d) Use TABLE to find points on the graph around each x-intercept. Determine on which intervals the graph is above and below the x-axis. (e) Determine the local maxima and local minima, if any exist, rounded to two decimal places. That is, locate any turning points. (f) Use the information obtained in parts (a) to (e) to draw a complete graph of f by hand. Be sure to label the intercepts, turning points, and the points obtained in part (d). (g) Find the domain of I Use the graph to find the range of r (h) Use the graph to determine where f is increasing and where f is decreasing. f(x) = x3 - 0.8x2 - 4.6656x + 3.73248