PRACTICE MAKES PERFECT ALGEBRA II review and workbook.

Description

Cover Title Page Copyright Page Contents Introduction 1 Functions: An introduction Relations and inverses Functions Function notation Arithmetic of functions Transformation of functions Inverse of a function Graphical representation of functions 2 Linear equations and inequalities Simple linear equations System of linear equations—graphical System of linear equations—substitution System of linear equations—elimination System of linear equations—three variables System of linear equations—matrix System of linear equations—application Linear inequalities System of linear inequalities Absolute value equations Absolute value inequalities 3 Quadratic relationships The parabola Special factoring formulas Trial and error Completing the square Quadratic formula Applications Square root function Circles Ellipses Hyperbolas Systems of equations 4 Complex numbers Powers of i Arithmetic of complex numbers The discriminant and nature of the roots of a quadratic equation Sum and product of roots of a quadratic equation 5 Polynomial functions Even and odd functions Inverse functions End behavior Factor theorem 6 Rational and irrational functions Rational functions Multiplying and dividing rational expressions Adding and subtracting rational expressions Solving rational equations Irrational functions Simplifying irrational expressions Solving irrational equations 7 Exponential and logarithmic functions Properties of exponents Exponential and logarithmic functions Properties of logarithms Solving exponential and logarithmic equations 8 Sequences and series Summation notation Recursion Arithmetic sequences Arithmetic series Geometric sequences Geometric series 9 Introduction to probability Fundamental theorem of counting Permutations Combinations Binomial expansions Conditional probability Binomial probability/Bernoulli trial 10 Introduction to statistics Measures of central tendency Measures of dispersion Normal distribution Regressions 11 Inferential statistics Basics Central limit theorem and standard error Standardized (z) scores The basics of inferential statistics Confidence intervals Tests of hypotheses Simulation 12 Trigonometry: Right triangles and radian measure Right triangle trigonometry Special right triangles The unit circle: First quadrant The unit circle—beyond the first quadrant Radian measure Basic trigonometric identities Area of a triangle Law of sines Ambiguous case Law of cosines 13 Graphs of trigonometric functions Amplitude and period Graphing trigonometric functions Inverse trigonometric functions Solving trigonometric equations Answer key