CHAPTER3REVIEWSHEET.per2.Oct.2011

CHAPTER3REVIEWSHEET.per2.Oct.2011 - Chapter 3 Review Sheet...

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Unformatted text preview: Chapter 3 Review Sheet Odd Functions Polynomials cannot have: Asymptotes Fractional Exponents Long Dividing Polynomials 2x2+2x+1 ”>0ch “wax—2 52x3-2x2-3x—F3 -L Pix.) 2x34):2 2x2-3x Eg. flx)=x3 2x2-4x End Behaviours x+3 (x-->-oo,y-->—m) and (x-->oo ,y-->oo ) ____L-L__ (Opposite End Behaviours) -5 —-3 RC1) (Negative Coefficient Switches end behaviours) Turning Points (0 to 11-1) X-Int (1 to 11) Even Functions I ———l Factor TheoremfRemainder Theorem If a root than f(x)=0 Example. Is (x-2) a root of x2 +2x-8? f(2)=(2)2+2(2)—8 fi2)=0 Synthetic Division: 4 _ 2 _ Eg. f(x)=x (x 2) 0f x +2x 8 End Behaviours (x-->-oo,y-->oo) and (x-->oo ,y-->oo) (Same End Behaviours) (Negative Coefficient Switches end behaviours) (y approaches negative) Turning Points (1 to n—l) X—Int(0 to n) 212-8 4,28 1 Sum Or Difimnce Of Cubes (HY-(b)3 = (a-b)(a2+ab+b2) - (aXYfibF = (a+b)(a2-ab+b2) x3 +8-—> (x)3+(2)3= (x+2)(x2-2x+4) ...
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