Pre-Calc Homework Solutions 150

Pre-Calc Homework Solutions 150 - 150 Section 4.3(x 2 x2(x...

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Unformatted text preview: 150 Section 4.3 (x 2 x2 (x 2 28. y 1)(1) x(2x) (x 2 1)2 1 1)2 Intervals Sign of y x 1 1 x 1 1 x Behavior of y Decreasing y (x 2 (x 2 2x 3 (x 2 1)2( 2x) Increasing Decreasing 1)(2x) ( x 2 1)(2)(x 2 (x 2 1)4 1) 1)( 2x) 4x( x 2 (x 2 1)3 6x 1)3 2x(x 2 3) (x 2 1)3 Intervals Sign of y x 3 3 x 0 0 x 3 3 x Behavior of y Concave down Graphical support: Concave up Concave down Concave up [ 4.7, 4.7] by [ 0.7, 0.7] (a) [ 1, 1] (b) ( (c) ( (d) ( , , 1] and [1, ) 3, 0) and ( 3, ) 3) 1 ; 2 1 1, 2 3) and (0, (e) Local maximum: 1, local minimum: (f) (0, 0), 29. y (x Intervals Sign of y 3, 1)2(x 3 4 , and 3, 3 4 2) x 1 1 x 2 2 x Behavior of y Decreasing Decreasing Increasing y (x (x (x 1)2(1) (x 2)(2)(x 1) 1)[(x 1) 2(x 2)] 1)(3x 5) x 1 1 x 5 3 5 3 Intervals Sign of y x Behavior of y Concave up Concave down Concave up (a) There are no local maxima. (b) There is a local (and absolute) minimum at x (c) There are points of inflection at x 1 and at x 2. 5 . 3 ...
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