Final Exam Sample Problems ----------------------------- Linear Models, Linear Equations 1.2: 107,110 Quadratic Functions 2.1: Problems like 13 through 28. Given a simple quadratic function, be able to factor it, find x and y intercepts, find the vertex, whether it opens up or down, etc. Absolute Value Equations and Inequalities A.5: 179,180 A.6: 53-36 Function Operations, Inverses p. 104: 16,17,18 Polynomial and Synthetic Division 2.3: 13,37,38, Zeros of polynomials, Rational Root Test 2.5: Part A of 25-28 Domains of Rational and Radical Functions 2.6: 48,49 Find the domain of f(x) = sqrt(-8x + 15) Complex Numbers 2.4: 20,32,48,52,63 Exponential and Logarithmic Equations 3.4: 31,56,63 3.4: 83,93 Exponential Models (Population, Radioactivity, Continuously compounded interest, etc...) 3.5: 35,38,40 Systems of Equations 7.1: 18,25 7.3: 8, 13 Matrix Operations and Inverses p. 608: 4, 5, 6 Arithmetic Sequences 9.2: 55 p. 686: 31 Be able to find the equation of a geometric sequence given the first few terms Geometric Sequences p. 687: 53,57 Be able to find the equation of a arithmetic sequence given the first few terms Binomial Theorem p. 688: 100, 103