Calculus unit 3.docx - Calculus unit 3 1a f x x 2 2 x 15 0...

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Calculus unit 3 1a. 2 2 2 ( ) 2 15 0 2 15 ( 5)( 3) 0 5 3 int :( 5,0) (3,0) (0) 0 2(0) 15 (0) 15 int :(0, 15) f x x x x x x x x or x ercept and f f y ercept   b. 10 5 10 0 10 int :( 10.0) 0 10 0 5 10 5 2 int :(0, 2) x y x x x x ercept y y y y ercept   2a { | 4} x R x b. { } x R c. { | 5} x R x
3a. 3 5 2 6 8 10 6 8 10 6 8 10 6 8 10 1 ( ) ( ) 1 ( ) 2 1 ( ) ( ) 2( ) ( ) 1 ( ) 2 1 ( ) 2 ( ) ( ), ' . . f x x x f x x x x f x x x x f x x x x f x x x x f x f x it s even function    b. 5 3 5 3 5 3 5 3 5 3 7 ( ) 7 ( ) ( ) ( ) 7 ( ) ( 7) ( ) ( ) 7 ' . . . . y x x f x x x f x x x f x x x x x it s nether odd or even          c. 3 3 3 3 3 3 3 ( ) 3 ( ) ( ) ( ) 3 3 ( ) 3 ( ) 3 ( ) ( ) ' . . f x x x f x x x x x f x x x x x x x f x f x it s odd function   
4a 3 2 2 5 7 3 28 3 28 0 ( 7)( 4) 0 7 4 . . x x y x x x x x x x or is vertical asympotoe b. 5 3 3 2 3 2 4 4 6 2 5 6 2 5 6 0 ( 1)( 2)( 3) 0 1 2 3 1,2, 3 . . x x x y x x x x x x x x x x or or x is vertical asympotote   5a 3 2 2 2 6 .deg .deg , . . x x y x top ree bottom ree no horizontal asymptote b. 4 3 2 5 3 3 7 3 8 .deg .deg . . 0 x x x y x x bottom ree top ree horizontal asymptote y c. 2 2 2 ( ) 3 4 .deg .deg 2 1 2 2 . : 2 x f x x x top ree bottom ree y horizontal asymptote y
6a 2 . ( ) 4 12 7 '( ) 8 12 0 8 12 12 8 i f x x x f x x x x  ii. Interval Function: '( ) 8 12 f x x Increasing or decreasing 12 8 x   Test x=-2 F’(-2)=-4 decreasing 12 8 x   Test x=0 F’(0)=12 increasing iii. the function change from decreasing to increasing in x= -12/8. (-1.5,-16)is a minimum point. b. i. 3 2 2 2 2 ( ) 9 24 10 '( ) 3 18 24 0 3 18 24 0 3( 6 8) 0 3( 4)( 2) 4 2 f x x x x f x x x x x x x x x x and ii.

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