In 65-88: (a) Find the x- and y-intercepts of each

Chapter , Problem 5.1.70

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In 65-88: (a) Find the x- and y-intercepts of each polynomial function f. 62. r I 64. o'pdx (a) y = 2x3(x - l)(x - 2)2 (b) y = x2(x - 1)(x - 2) (c) y = x3(x - 1 )2(x - 2) Y 2 -2 (d) y = x2(x - 1 )2(x - 2)2 (e) y = 5x(x - 1 )2(x - 2) (f) y = -2x(x - 1 )2(2 - x) 3 x 1 (a) y = - Z (x2 - 1)(x - 2)(x + 1) 1 (b) y = - Z (x2 + l)(x - 2)(x + 1) 1 ? (c) Y = - Z (x + l )- (x - l)(x - 2) (d) y = (x - 1?(x + 1)( 1 - ) (e) y = - (x - 1?(x - 2)(x + 1) (f) y = _ (X2 + D(x - 1?(x + 1)(x - 2) (b) Determine whether the graph of f crosses or touches the x-axis at each x-intercept. (c) End behavior:find the power function that the graph of f resembles for large values of Ix!. (d) Determine the maximum number of turning points on the graph of f. (e) Determine the behavior of the graph off near each x-intercept. (f) Put all the information together to obtain the graph off (You may need to locate additional points on the graph.) f(x) = 5x(x - 1 )3

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