ONE-SCHOOL.NET Add Maths Formulae List: Form 4 (Update 18/9/08) 01 blends Absolute Value run short Inverse Function If f ( x ), if f ( x ) ? 0 f ( x) ? f ( x), if f ( x ) < 0 y = f ( x ) , then f ?1 ( y ) = x Remember: quarry = the range of x Image = the pry of y or f(x) f(x) map onto itself means f(x) = x 02 quadratic polynomial pars General Form Quadratic Formula ax 2 + bx + c = 0 where a, b, and c are constants and a ? 0. *Note that the highest power of an unknown of a quadratic compare is 2. Forming Quadratic Equation From its grow: If ? and ? are the roots of a quadratic par ?b ± b 2 ? 4ac x= 2a When the equation can not be factorized. temperament of grow ? +? =? b a ?? = c a The Quadratic Equation x 2 ? (? + ? ) x + ?? = 0 or x ? ( SoR ) x + ( PoR ) = 0 SoR = Sum of Roots PoR = Product of Roots 2 b 2 ? 4ac b 2 ? 4ac b 2 ? 4ac b 2 ? 4ac >0 =0 0 ? token(prenominal) ? ? (smiling face) a < 0 ? maximum ? ? (sad face) f ( x) = ax 2 + bx + c (i) the value of x, x = ? b 2a b ) 2a b 2a (ii) (iii) Quadratic Inequalities a > 0 and f ( x) > 0 a > 0 and f ( x) < 0 min./max. value = f (? equation of axis of symmetry, x = ? Nature of Roots a b a a< x 0 x < a or x > b 04 simultaneous Equations To find the intersection pane ? solves simultaneous equation.
Remember: succor ana recordue equation into non- linear equation. http://www.one-school.net/notes.html 2 ONE-SCHOOL.NET 05 Indices and Logarithm Fundamental if Indices Laws of Indices set Index, Negative Index, a0 = 1 a m à a n = a m+n a m ÷ a n = a m?n ( a m ) n = a mà n ! ( ab) n = a n b n m a ?1 = 1 a a b ( ) ?1 = b a fractional Index 1 an = a n m an = a n a n an ( ) = n b b Law of Logarithm Fundamental of Logarithm picture a y = x ? a x = y record a a = 1 frame in down a mn = put down a m + put down a n log a log a a x = x log a 1 = 0 m = log a m ? log a n n log a mn = n log a m changing the Base...If you want to get a safe essay, order it on our website: OrderCustomPaper.com
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