Math Methods ½ Notes 2016

Jul 25th, 2016
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Math Methods ½ Notes 2016 ... - Graphs & Polynomials Polynomial: expression where terms consist of only non-negative integer powers - Degree: highest power of the polynomial...

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Math Methods NotesGraphs & PolynomialsPolynomial: expression where terms consist of only non-negative integer powersDegree: highest power of the polynomialCOMMON SETS OFNUMBERS RealNumbers (R) Allnumbers NaturalNumbers (N){1,2,3,4..........} Integers(Z) {..... 2,1,0,1,2....}EQUATION OF STRAIGHT LINEy = mx + cm = gradientc=yintercepty - y =m(x - x)(x, y) is a point on the graphm = gradient:a=xinterceptb=yinterceptParallel lines have the same gradientPerpendicular lines have the negative reciprocal gradient eg. If m=2, m of perpendicular line =TO FIND GRADIENTor tan where = angle the line makes with the positive x axisDOMAIN AND RANGEDomain: set of x values where the rule is definedRange: set of y values where the rule is definedImplied domain: if no domain is specified, the maximum possible set x values (the produce areal y value)appliesINTERVAL NOTATION[a,b] Domain and range includes end points: closed circle (a,b) Domain and range doesnt include end points: open circle R set of all real numbersR+ - set of positive real numbers (does not include zero)R- - set of negative real numbers (does not include zero)R\{a} includes all real numbers except for a- and are never includedFUNCTION NOTATIONFunction label: Domain number set, function label (independent variable) = rulein terms of independent variable only.Eg. g: R\,0- R, g(x) =DIVISION OF POLYNOMIALSCan

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