College Algebra Review for final exam. Chapter 2 – Functions and Graphs Increasing/decreasing parts of functions Combining functions with +,-,x,/ Composing/decomposing.

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Presentation transcript:

College Algebra Review for final exam

Chapter 2 – Functions and Graphs Increasing/decreasing parts of functions Combining functions with +,-,x,/ Composing/decomposing functions Creating functions/formulas from information in word problems Finding domains of functions

Chapter 3 – Quadratic Functions

Ch. 3 continued Word problems about max/min Solving “quadratics in disguise” Solving rational equations (multiply through by common denominator; make sure to check answers)

Ch. 4 – Polynomial and Rational Fns Characteristics of graphs of polynomials – end behavior, y-intercept, x-intercepts Dividing polynomials (synthetic or long) Possible rational zeros Check possibilities using synthetic division to find actual zeros, factorization

Chapter 4 continued Characteristics of rational functions – domain, x-intercepts, y-intercept Solving polynomial and rational inequalities using the test value method (solutions in interval notation)

Ch. 5 – Inverse Fns, Exponents, and Logs How to tell if a fn is 1-to-1 (has an inverse) How to find the inverse of a fn Domain, properties of exponential functions Compound interest Domain, properties of log functions Converting exponential/log form Find value of logs

Ch. 5 continued Solve exponential and log equations (by converting to other form, using properties, etc.) Exponential growth/decay Doubling time/half-life

Ch. 6 – systems of equations Solve using substitution, elimination, or matrices – your choice Word problems that give systems of equations

Ch. 7 – Conic sections Recognizing conics from equations General shape of graphs Finding vertex, focus, directrix of parabola Finding center of circle, ellipse, hyperbola Solving systems of equations involving conic sections – use substitution if one eq is linear