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96 Pages

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Course: MATH 1106, Fall 2008
School: Kennesaw
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Word Count: 36466

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PROOFS MASTER *(866)487-8889* CONFIRMING SET Please mark all alterations on this set only hof51918_ch01_001_096 9/27/05 3:14 PM Page 1 CHAPTER 1 Supply and demand determine the price of stock and other commodities. FUNCTIONS, GRAPHS, AND LIMITS 1 2 3 4 5 6 Functions The Graph of a Function Linear Functions Functional Models Limits One-Sided Limits and Continuity Chapter Summary Important Terms, Symbols, and...

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Kennesaw - MATH - 1111
APPROXIMATE Topic Schedule MATH 1111 Online Spring 2009 as of 01/06/08 Virtual Classroom sessions begin at 8:00 PM on Monday and at 8:00 PM on ThursdayDate 1/8 1/12 1/15 1/19 1/22 1/26 1/29 2/2 2/5 2/9 2/12 2/16 2/19 2/21 2/23 2/26 3/2 3/5 3/9 3/1
Kennesaw - MATH - 1111
Lecture NotesSection 1.5 p.122, Increasing, Decreasing and Constant Functions mechanical answer increasing if it rises from left to right decreasing if it drops from left to right constant if it neither rises nor drops mathematical answer, bottom
Kennesaw - MATH - 1111
Lecture NotesSection 1.6 The Alegbra of Functions P.136 Combination of functions - Sums, Differences, Products and Quotients of Functions p.136 Blue box Algebra is simple. The issue is determining the domain of the COMBINED function f(x)x1 g x x3
Kennesaw - MATH - 1111
Lecture NotesSection 1.7 Symmetry and TransformationsSymmetry ( homework assignment 1.7A)p.148 symmetry about x, y origin For x and y imagine folding a piece of paper p.149, Figure 1 symmetric around x axis Symmetry around x not important (not a
Kennesaw - MATH - 1111
Lecture NotesSection 2.1 Linear Equations, Functions, and Models The most confusing symbol in algebra p.178 Linear Equations Solving Linear Equations use additive and multiplicative properties of equality Class Exercise p.180, ex 2solve55 25 25
Kennesaw - MATH - 1111
Lecture NotesSection 2.1 Linear Equations, Functions, and Models The most confusing symbol in algebra3x3x 3 4x2 4 f x 3x 2solve for xp.178 Linear Equations Solving Linear Equations use additive and multiplicative properties of equality C
Kennesaw - MATH - 1111
Lecture NotesSection 4.4 Properties of Logarithmic Functions Product Rule, Quotient Rule, Power Rule Objective is to consolidate multiple log statements into one or to split one log statement into multiples. Operations are only valid if the logs hav
Kennesaw - MATH - 1111
Lecture NotesSection R.2 p.9 What is an exponent? shorth hand notation x 4 xxxx p.9 p.9 x43x03 3x 3x 3x x0 1 1, 234, 512 0 11 x 3anything 1negative exponents to positive exponents x 4 1x3 1 x31 x4elevator with two floor
Iowa State - BCB - 544
BCB 444/544 Fall 06 Dec 10 BCB 444/544 Study Guide #3 (for Final Exam) Final Exam will be held: Wed Dec 13, 9:45 - 11:45 AM in MBB 1340 Computer Lab General comments Study Guide #3 - Final Examp 1 of 2Final Exam will be an open-book, open-n
Kennesaw - MATH - 1111
gx g g g g g g g g3 2x 25 x 2 3 2 3 2253 23 223 2 3 2 3 2 3 225 94 3 2 100 4 3 2 91 4 3 2 91 4 3 2 91 29 43 2 3 2 3 23 912 912 2 3 2 2 2 4 17 65 x4 5 x42 248 3 3 8 32 2 8 3 3 216 6 6 20x 2 2 4x 5
Kennesaw - MATH - 1111
MATH 1111Test 3Spring 2008Name_ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the zeros of the polynomial function and state the multiplicity of each. 1) f(x) = 3(x + 7)2 (x - 7)3 A)
Kennesaw - MATH - 1111
MATH 1106 -Spring, 09 Test 1 Name: _ section 04 11:00 section 06 section 08 12:30 2:00Class Section _1. Market research indicates that manufacturers will supply x units of a particularcommodity to the marketplace when the price is p = S(x) dolla
Kennesaw - MATH - 1111
SHOW YOU WORK. For the following five questions, show your work completely in the space provided.&quot;completing the square&quot; , to find the vertex of the function using your calculations. Use fractions in your calculations if needed:Show your work, usi
Kennesaw - MATH - 1111
MATH 1111Test 2Fall 2008Name_ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the inequality and graph the solution set. 1) y + 6 &lt; 8A) {y|y &lt; 2} or (-, 2)-5 -4 -3 -2 -1 0 1 2 3 4
Kennesaw - MATH - 1111
SHOW YOU WORK. Show your work completely in the space provided Provide the information requested about the polynomial below. 1)f(x) =x5-12x4+32x3+128x2-768x+1024 = (x2 -16)(x2 -8x+16)(x-4)a) Complete the factoring. Factor completely. Find the zero
Kennesaw - MATH - 1111
MATH 1111 Test 3 - Spring 2009Answer KeyMultiple Choice AnswersQuestion cross reference# A B1 2 3 4 5 6 7 8 9 C B D C D D C B A B C D C B C C C A D# A B11 B 12 B 13 A 14 A 15 B 16 A 17 B 18 B 19 B 20 D2 3A B1 2 3 4 5 6 7 8 9 15 16 10 9
Kennesaw - MATH - 1111
MATH 1111 Test 1 Answer KeyFall, 2008 Question numbers for this answer key are based on version A. The chart below provides the equivalent question numbers for version B. Multiple choice answers# A B1 2 3 4 5 6 7 8 9 B A A A D C B C B A A D D A D
Kennesaw - MATH - 1111
SHOW YOU WORK. For the following five questions, show your work completely in the space provided.&quot;completing the square&quot; , to find the vertex of the function using your calculations. Use fractions in your calculations if needed:Show your work, usi
Kennesaw - MATH - 1111
MATH 1111Test 2Fall 2008Name_ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the inequality and graph the solution set. 1) y + 6 &lt; 8A) {y|y &lt; 2} or (-, 2)-5 -4 -3 -2 -1 0 1 2 3 4
Kennesaw - MATH - 1111
Lecture NotesSection 1.1 Introduction to Graphing Graphs p.63 Cartesian Coordinate System A &quot;picture&quot; of a function. originally developed as a bridge between algebra and geometry Each data point has an x and a y coordinate (address). The address of
Kennesaw - MATH - 1111
Lecture NotesSection 1.2 Definition of function p.81 A function is the correspondence between domain and range such that each member of the domain corresponds to exactly one member of the range.It's okay for more than one element in the domain to b
Kennesaw - MATH - 1111
Lecture NotesSection 1.3 p.97, Linear Functions graph is a straight line p.97, f(x) mx b y intercept 0, b p.98, Constant function f x fx f0 graph is a horizontal line, rgardless of the x value y -2 y m is the slope (or average rate of change) y
Kennesaw - MATH - 1111
Lecture NotesSection 1.3 p.97, Linear Functions graph is a straight line p.97, f(x) mx b y intercept 0, b p.98, Constant function f x fx f0 graph is a horizontal line, rgardless of the x value y -2 y m is the slope (or average rate of change) y
Kennesaw - MATH - 1111
Lecture NotesSection 1.5 Linear Equations, Functions, and Models The most confusing symbol in algebra is . when paired with SOLVE not paired with SOLVE f x 3x 2 2xSolving Linear Equations use additive and multiplicative properties of equalit
Kennesaw - MATH - 1111
Lecture NotesSection 2.1 Increasing, Decreasing and Piecewise Functions p.166, Increasing, Decreasing and Constant Functions mechanical answer increasing if it rises from left to right decreasing if it drops from left to right constant if it neit
Kennesaw - MATH - 1111
Lecture NotesSection 2.3 The Composition of Functions p.189, Composition of Functions p.197 #43 sx txx 3 x4x blouse size in USx blouse size in Japant(x) blouse size in Australias(x) blouse size in USwant formula that converts directly
Kennesaw - MATH - 1111
Lecture NotesSection 3.3 Analyzing Graphs of Quadratic Equations f x x22 x32p.262 graphs at top Graph shape is a parabola and has been transformed from basic shape f x x 2 (p.203) First graph 2 x3 x3 2 x 6x 92fx 2 2 2 2x 2 12x 16whi
Kennesaw - MATH - 1111
Lecture NotesSection 3.4 Solving rational and radical equations page 276, Solving Rational equations Clear fraction(s) by finding LCD and multiplying both sides (and each fraction) by the LCD (all of the unique factors from each fraction). NOT the s
Kennesaw - MATH - 1111
Lecture NotesSection 4.1 Polynomial Functions and Modeling Polynomial functions are functions that dont contain radicals or fractions or absolute values p.296, list of names Constant through Quartic degree 0 1 2 3 4 linear quadratic cubic quartic po
Kennesaw - MATH - 1111
Lecture NotesSection 4.1 Polynomial Functions and Modeling Polynomial functions are functions that dont contain radicals or fractions or absolute values p.296, list of names Constant through Quartic degree 0 1 2 3 4 linear quadratic cubic quartic po
Kennesaw - MATH - 1111
Lecture NotesSection 4.2 Graphing Polynomial Functions p.313, Graphing (sketching) polynomial functions degree (highest exponent) of polynomial n number of zeros number of x-intercepts n-1 number of turning points p.315, steps in sketching (or cho
Kennesaw - MATH - 1111
Lecture NotesSection 5.1 Inverse FunctionsInverse Functions The opposite; swapping inputs and outputs (x's and y's) Relations and functions A &quot;relation&quot; is a relationship between sets of information. example a pairing of student names and heights.
Kennesaw - MATH - 1111
Lecture NotesSection 5.1 Inverse FunctionsInverse Functions The opposite; swapping inputs and outputs (xs and ys) Relations and functions A relation is a relationship between sets of information. example a pairing of student names and heights. Fun
Kennesaw - MATH - 1111
Lecture NotesSection 5.2 Exponential Functions and Graphs p.394, Graphing Exponential Functions, the standard form of an exponential function is f x fxx 4The base must be positive ( 0) and notA xwhere A is called the base and the variable is
Kennesaw - MATH - 1111
Lecture NotesSection 5.3 Logarithmic Functions and Graphs LogarithmsInvented in 1614 by John Napier and Henry Briggs working independently Essential before computers and calculators. Provided a quick way to multiply (by adding logarithms) or divide
Kennesaw - MATH - 1111
Lecture NotesSection 5.3 Logarithmic Functions and Graphs LogarithmsInvented in 1614 by John Napier and Henry Briggs working independently Essential before computers and calculators. Provided a quick way to multiply (by adding logarithms) or divide
Kennesaw - MATH - 1111
Lecture NotesSection 5.5 Solving Exponential and Logarithmic Equations p.435, SolvingExponential EquationsBaseExponent Property p.435 If the bases are the same, then exponent exponent Example 1, p.436 2 3x732answer: 2 3x 2 3x x 4 23 47 3x
Kennesaw - MATH - 1111
Lecture NotesSection R.2 p.9 What is an exponent? shorth hand notation x4xxxxanything03x3p.9 p.9 x4x01, 234, 512 01 x 3 negative exponents to positive exponentselevator with two floors - if down move up (denominator to n
Kennesaw - MATH - 1111
Lecture NotesSection R.2 p.9 What is an exponent? short hand notation x4xxxxanything 03x3p.9 p.9x 4 11 3x3x 3x x0 27x 31, 234, 512 01 x 311negative exponents to positive exponents x13 x 3 x14if up move down( numerat
Kennesaw - MATH - 1111
Lecture NotesSection R.3 Scientific Notation p.11 N 10 ? 1.2 .2 The preceeding number N must be between 1 and 9.9999. 1 N 10Homework problem- A 17.3 mile-long bridge-tunnel cost \$ 207 million. Find the average cost per mile. Write your answer usi
Kennesaw - MATH - 1111
Lecture NotesSection R.4 Factoringthe reverse of multiplication What are factors? Things that are multiplied together. 2x 3x 6x 2 2x and 3x are factors also 2 and 3 and x are factors Basic Factoring Strategy 1) Always look for common factors (factor
Kennesaw - MATH - 1111
Lecture Notes Section R.5 The Basics of Equation Solving p.32 linear equation f x ax b is the format of a linear function stated in function format. This is an arithmetic statement not an equation tom be solved f3 ax b 0 is the replacement of th
Kennesaw - MATH - 1111
Lecture NotesSection R.6 Rational Expressions p.36, means fraction functions; p.36 Domain of a Rational Expression. Set of all valid values of x (inputs) The denominator can not be equal to zero. .cant divide by zero. Any value of x that would denom
Kennesaw - MATH - 1111
Lecture NotesSection R.6 Rational Expressions p.36, means fraction functions; p.36 Domain of a Rational Expression. Set of all valid values of x (inputs) The denominator can not be equal to zero. .can't divide by zero. Any value of x that would deno
Kennesaw - MATH - 1111
BBEPMC0R_0312279093.QXP12/2/042:43 PMPage 4848Chapter R Basic Concepts of AlgebraR.7The Basics of Equation Solving Solve linear equations. Solve quadratic equations. An equation is a statement that two expressions are equal. To solv
Kennesaw - MATH - 1111
BBEPMC03_0312279093.QXP12/2/041:17 PMPage 285Section 3.3 Polynomial Division; The Remainder and Factor Theorems2853.3Polynomial Division; The Remainder and Factor TheoremsPerform long division with polynomials and determine whether o
Iowa State - BCB - 544
BCB 444/544 Fall 06 Aug 24Lab 1p. 1BCB 444/544 Lab 1 Collecting and Storing SequencesName _Objectives 1. Become familiar with the computer lab 2. Learn how to keep a log of your work 3. Learn how to search for information in online bioinfor
UCLA - POL SCI - 200
R language crib sheetPoliSci 200d Winter 20081Scalar construction1. Special scalar objects: NA missing data, NaN not a number, -Inf negative innity, Inf positive innity, NULL null object.2Vector construction1. Combine values: x&lt;-c(1,2,3) 2
UCLA - POL SCI - 200
HW1: Simulation in RPolitical Science 200D Winter 20081ReadingDownload the short set of notes Statistical with R - Language Overview available from the class webpage: http:/www.ssc.ucla.edu/08W/polisci200d-1/ Read over the sections whose title
UCLA - POL SCI - 200
HW2: Maximization of the LikelihoodPolitical Science 200D Winter 20081Using FunctionsDownload the program findllik.r. This program allows you to calculate the loglikelihood of a set of parameters, given a normally distributed bivariate dataset
UCLA - POL SCI - 200
HW4: Interpretation of Nonlinear ModelsPolitical Science 200D Winter 20081Choice ModelsLast week you estimated a model for the probability of voter turnout in Fulton county. Using these results, complete the following four approaches to interp
UCLA - POL SCI - 200
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UCLA - POL SCI - 200
Michigan State University - CSE - 470
Introduction to Java Programming An object-oriented, platform independent language Two types of programs in Java Applets (run from web browsers) Command line programs Primary focus of this lab Event Handling mechanisms of Java Developing GUI
Michigan State University - CSE - 470
Database Access through JavaCSE470 Software EngineeringFall 20001DBMS Overview A Database Management System (DBMS) is a system that provides a convenient and efficient way to store and retrieve data and manages issues like security, concurre
Michigan State University - CSE - 470
More SQL Specifying Foreign KeysConsider the following tables, STUDENTS &amp; GRADES STUDENTSID 10001 . NAME Sparty . DOJ 1/1/1855 . COURSE MTH101 CEM101 . EMAIL sparty@msu.edu . GRADE 4.0 3.5 .Fall 20001GRADESSTU_ID 10001 10001 .CSE470 Softwa
Michigan State University - CSE - 470
Extracting Data from Multiple Tables Sometimes, it maybe required to read data simultaneously from two or more related tables. In SQL, this is made possible by a `join' on the tables. Example: &quot;Display the names of all students who have scored 3.0
University of Louisiana at Lafayette - IXJ - 0704
Syllabus for CMPS 150: Introduction to Computer Science Section 1,2,3,4: Spring 2009Prerequisite: MATH 109 or (MATH 201 or MATH 250), with a grade of C or better Co-requisite: MATH 110 (CMPS majors)Instructor: Lecture Location: Lecture Meets:Lab
N. Illinois - ISHS - 1989
Mines - PHGN - 200
NAME:PHGN200: Introduction to Electromagnetism and Optics Exam IV1. (40) A magnetic balance consists of two parallel wires. The upper wire is part of a knife-edge balance with a small tray to hold mass samples.I mm I (in)dd I LI (out)Fro
Mines - EXAM - 200
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