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Pre-Calc Homework Solutions 140

Pre-Calc Homework Solutions 140 - 140 8 y Section 4.3 6x 2...

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8. y 9 5 2 6 x 2 1 12 x 5 2 6 x ( x 2 2) y 0 5 2 12 x 1 12 5 2 12( x 2 1) Graphical support: [ 2 4, 4] by [ 2 6, 6] 9. y 9 5 8 x 3 2 8 x 5 8 x ( x 2 1)( x 1 1) y 0 5 24 x 2 2 8 5 8( ˇ 3 w x 2 1)( ˇ 3 w x 1 1) Graphical support: [ 2 4, 4] by [ 2 3, 3] 1 3 w } 2 and 1 } ˇ 1 3 w } , 2 1 3 w } , } ˇ 1 3 w } 2 1 3 w } , 2 } 1 9 } 2 10. y 9 5 xe 1/ x ( 2 x 2 2 ) 1 e 1/ x 5 e 1/ x 1 1 2 } 1 x } 2 y 0 5 e 1/ x ( x 2 2 ) 1 1 1 2 } 1 x } 2 e 1/ x ( 2 x 2 2 ) 5 } e x 1 3 / x } Graphical support: [ 2 8, 8] by [ 2 6, 6] 11. y 9 5 x } 2 ˇ 8 w 1 2 w x w 2 w } ( 2 2 x ) 1 ( ˇ 8 w 2 w x w 2 w )(1) 5 } ˇ 8 8 w 2 2 w 2 x x w 2 2 w } y 0 5 5 } ( 2 8 x 2 3 2 x 2 2 ) 4 3/ x 2 } 5 } 2 ( x 8 ( x 2 2 2 x 2 ) 1 3 2 /2 ) } Graphical support: [ 2 3.02, 3.02] by [ 2 6.5, 6.5] ( ˇ 8 w 2 w x w 2 w )( 2 4 x ) 2 (8 2 2 x 2 ) } 2 ˇ 8 w 1 2 w x w 2 w } ( 2 2 x ) }}}}} ( ˇ 8 w 2 w x w 2 w ) 2 140 Section 4.3 Intervals x , 1 x . 1 Sign of y 0 1 2 Behavior of y Concave up Concave down Intervals x , 0 0 , x , 1 1 , x Sign of y 9 1 2 1 Behavior of
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