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MATH ANALYSIS 1MIDTERM REVIEWChapter 1Distance and midpoint formulasIntersection of linesSlopes – parallel and perpendicularFinding Equations of a lineComplex numbersOperations with complex numbersSolving quadratic equations (factoring, completing the square, quadratic formula)Gaining and Losing RootsGraphing parabolas in general form and vertex formFinding vertex, axis of symmetry, x-intercept, y-intercept for a parabolaDiscriminant of a quadraticIntersection of a parabola and a line.Quadratic ModellingChapter 2Polynomials with Long division and Synthetic divisionFinding an equation for a polynomial function based on the graphFinding minimum and maximum of a quadratic functionFinding the roots of a polynomial function (quadratic form, grouping, rational root theorem)Graphing polynomials of degree higher than twoIntersection of a cubic and a lineFinding the equation for a polynomial based on an explanationFinding the sum or product of the roots given the equation Properties of polynomial graphs and roots.Graphing Calculator: Finding zeros, values, minimums, maximums, y-intercept, positive intervals, negative intervals, increasing intervals, decreasing intervals, end behavior of a graph, points of intersectionChapter 3Absolute Value GraphsLinear InequalitiesInequalities with absolute valuePolynomial and Rational Inequalities Graphing InequalitiesDetermining equations of inequalities based on a graphLinear ProgrammingChapter 4Function notationProperties of functionsFinding the domain, range, and zeros of a functionPiecewise FunctionsGreatest Integer FunctionsOperations on functionsFinding composites of functionsReflecting graphsPeriodic functions – amplitude & periodFinding the inverse of a functionDetermining if a function has an inverseDifference QuotientChapter 5Simplifying Complex fractionsIntegral exponentsNegative exponents Fractional exponents ................
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