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by: Leopoldo Rutherford

PrecalculusAlgebra MATH242

Marketplace > Cuesta College > Mathematics (M) > MATH242 > PrecalculusAlgebra
Leopoldo Rutherford

GPA 3.8


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Class Notes
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This 1 page Class Notes was uploaded by Leopoldo Rutherford on Sunday October 11, 2015. The Class Notes belongs to MATH242 at Cuesta College taught by MarkTurner in Fall. Since its upload, it has received 176 views. For similar materials see /class/221240/math242-cuesta-college in Mathematics (M) at Cuesta College.


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Date Created: 10/11/15
Math 242 EXAM 2 STUDY GUIDE DEFINITIONS AND VOCABULARY Direct variation notes Conjugate Zeros Theorem p173 Arithmetic sequence and common difference p653 Inverse variation p10D Polynomial function p128 Horizontal and vertical asymptote p185 notes Multiplicity of zeros p143 Rational function pl 84 Remainder Theorem and Factor Theorem p157 Slant oblique asymptote p190 Rational Zeros Theorem p170 Critical numbers p197 FORMULAS Linear function p25 fx mx 1 Direct variation notes y kx Arithmetic sequence nth term p654 an at1 n 71d Quadratic function p128 131 fx axz bx c or fx ax7 h2 k Vertex formula p133 h 721 k fh a Power function notes f x a x YOU SHOULD BE ABLE TO Identify a linear function from a table Find the equation of a linear function Interpret the slope and intercept of a linear function in practical terms Solve applied problems involving linear functions Write a direct variation in symbol form and solve variation problems Write a linear function as a direct variation Recognize an arithmetic sequence and find the common difference Find the terms of an arithmetic sequence Find the nth term formula for an arithmetic sequence Graph an arithmetic sequence Graph a quadratic equation from standard form using the vertex and interce ts Graph a quadratic polynomial or rational function using a basic function and transformation techniques Write a quadratic function in vertex form Find the vertex of a quadratic function using vertex form the vertex formula and your calculator Specify the axis of symmetry domain and range intercepts intervals of increasing and decreasing and minimum or maximum value for a quadratic function Solve optimization and applied problems involving quadratic functions Determine the end behavior for basic power functions Describe the general characteristics of the graphs of polynomial functions Describe the global end behavior of a polynomial function based upon its leading term Use the local and global behavior of a polynomial function to sketch a gra h Use the Remainder Theorem to evaluate a polynomial function with synthetic division Find the equation of a polynomial function given its zeros Use the Factor Theorem to identify factors of a polynomial function Use the Rational Zeros Theorem to write a list of possible rational zeros of a polynomial function Find all the zeros in exact form of a polynomial function Approximate the zeros of a polynomial function using your calculator Write a polynomial function as a product of linear factors Find the domain intercepts holes and asymptotes horizontal vertical and slant for a rational function Graph rational functions using asymptotes intercepts end behavior and noting any holes Graph rational functions using your calculator and correctly interpret the graph Solve quadratic polynomial and rational inequalities graphically and graph the solution set REVIEW PROBLEMS Review Exercises p117 65 6639 p208 142 5764 83106 111132 135 136 138146 p715 2740 Chapter Test p212 14 7 101839 p719 4


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