1 / 10

College Algebra

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.

hayden
Télécharger la présentation

College Algebra

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. College Algebra Review for final exam

  2. 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

  3. Chapter 3 – Quadratic Functions • Find zeros using factoring or quadratic formula • Vertex is at This gives the maximum or minimum of the function • , so . Other than that, works just like any other variable

  4. 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)

  5. 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

  6. 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)

  7. 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

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

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

  10. 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

More Related