Pre-Calc Homework Solutions 149

Pre-Calc Homework Solutions 149 - Section 4.3 (x 2)(3x 2 4x...

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y 95 5 The graph of y 9 is shown below. [ 2 4,7, 4.7] by [ 2 10, 10] The zeros of y 9 are x < 0.15, x < 1.40, and x < 2.45. y 05 5 5 5 The graph of y 0 is shown below. [ 2 4,7, 4.7] by [ 2 10, 10] Note that the discriminant of x 2 2 5 x 1 7 is ( 2 5) 2 2 4(1)(7) 52 3, so the only solution of y 0 is x 5 1. (a) Approximately [0.15, 1.40] and [2.45, ) (b) Approximately ( 2‘ , 0.15], [1.40, 2), and (2, 2.45] (c) ( 2‘ , 1) and (2, ) (d) (1, 2) (e) Local maximum: < (1.40, 1.29);local minima: < (0.15, 0.48) and (2.45, 9.22) (f) (1, 1) 2( x 2 1)( x 2 2 5 x 1 7) }}} ( x 2 2) 3 2 x 3 2 12 x 2 1 24 x 2 14 }}} ( x 2 2) 3 ( x 2 2)(6 x 2 2 16 x 1 8) 2 2(2 x 3 2 8 x 2 1 8 x 2 1) }}}}}} ( x 2 2) 3 ( x 2 2) 2 (6 x 2 2 16 x 1 8) 2 (2 x 3 2
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