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Course: MATH 1106, Fall 2008

School: Kennesaw

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4 Exponential CHAPTER functions can be used for describing the effect of medication. EXPONENTIAL AND LOGARITHMIC FUNCTIONS 1 2 3 4 Exponential Functions Logarithmic Functions Differentiation of Logarithmic and Exponential Functions Additional Exponential Models Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 4 Review Problems Explore! Update Think About It 288 CHAPTER 4 Exponential...

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Kennesaw - MATH - 1106
CHAPTER 5Computing area under a curve, like the area of the region spanned by the scaffolding under the roller coaster track, is an application of integration.INTEGRATION1 2 3 4 5 6 Antidifferentiation: The Indefinite Integral Integration by Sub
Kennesaw - MATH - 1111
Determining the Domain of a Function Place the function in the correct category (polynomial, rational, etc) Polynomial Function f(x)=3x5+2x25 The domain of the polynomial function is the set of real numbers. Rational Functionf ( x) = 2x x-4 Radical
Kennesaw - MATH - 1111
SyllabusFall Semester 2008 MATH 1111 College Algebra Online class - Monday and Thursday live at 8:00 PM ( sessions will be recorded then archived and can be replayed at any time) Instructor: Brad Feldser Web Site: http:/www.feldser.com E-mail: bfeld
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 2.3 Quadratic Equations, Functions, and Models p.204 quadratic function format where a not equal to zero (b or c can be 0) ax 2 bxc0 we are finding the zeros ( thef(x)ax 2 bxc, Solving a quadratic equation p.204 standard form
Kennesaw - MATH - 1111
Lecture NotesSection 2.3 Quadratic Equations, Functions, and Models p.204 quadratic function format where a not equal to zero (b or c can be 0) ax 2 bxc0 we are finding the zeros ( thef(x)ax 2 bxc, Solving a quadratic equation p.204 standard form
Kennesaw - MATH - 1111
Basic Functions p.153 y=x y=x y= y = x3 y=3 x y=1x2TranslationsExamples (y=x2) shift up shift down y = x2 + 3 y=x 4 y = (x + 2)2 y = (x 3)2 y = - x2 y = (-x)2 y = 3x2 y = 1/3x2 y = (2x)2 y = (1/2x)2 2Examples y= xy = x +3 y = x -4 y = x+2
Kennesaw - MATH - 1111
2.1, #9 domain is , 7 1 3statement 1 7x 3 7 100 3 statement 2 3x-5 3 100 31 5 547032305range is [-4, 3.4,#10 x x 11 x 4 11 55 x4 2 2 x 11 5 x4 x 11 5 x4 5 x4 x 1125 5 x 4 5 x 4 x 4 x 1129 10 x 4 x 40 10 x 4 40 1010x4 10
Kennesaw - MATH - 1111
MATH 1111 Test 1 Answer KeySpring 2009 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
Kennesaw - MATH - 1111
MATH 1111 Test 2 Answer KeyMultiple Choice Answers Question cross reference# A B1 2 3 4 5 6 7 8 9 A A C D D C A B C C D A B B A B D A C# A B11 A 12 C 13 B 14 B 15 C 16 C 17 C 18 C 19 B 20 D D B C C B B D A C CA B1 2 3 4 5 6 7 8 9 16 18 12 2
Kennesaw - MATH - 1111
MATH 1111 Test 3 - Fall 2008Answer KeyMultiple Choice AnswersQuestion cross reference# A B1 2 3 4 5 6 7 8 9 C B D C C D C B A B C B B B A C C A C# 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 7 8 3 4 19 2
Kennesaw - MATH - 1111
SHOW YOU WORK. Show your work completely in the space provided Perform the indicated operations. Leave your answer in radical form. 1) ( 2x2 + 14xy - 8y) - ( 7x2 - 7x + 7) + ( -x2 +3y - 4)Perform the indicated operation and simplify. 14xy x-y 2) 2
Kennesaw - MATH - 1111
MATH 1111Test 1Fall 2008Name_MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) A deep sea diving bell is being lowered at a constant rate. After 10 minutes, the bell i
Kennesaw - MATH - 1111
MATH 1111 Test 2 Answer KeyMultiple Choice Answers Question cross reference# A B1 2 3 4 5 6 7 8 9 A A C D D C A A C D A B D D B C D A B# A B11 A 12 C 13 B 14 B 15 C 16 C 17 D 18 C 19 D 20 D D A C A C D D C B CA B1 2 3 4 5 6 7 8 9 17 19 13 2
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 1.4 Section 1.3 p.97, blue boxSlope-intercept form of linear equation m slope Ex.1, p115 m7 9y mxbb y coordinate of y intercept y intercept 0, 16equation f xanswer: y 7 9x 16Finding equation for linear functi
Kennesaw - MATH - 1111
Lecture NotesSection 1.4 Section 1.3 p.97, blue boxSlope-intercept form of linear equation m slope Ex.1, p115 m7 9y mxbb y coordinate of y intercept y intercept 0, 16equation f x7 9x 16answer: y 7 9x 16Finding equation for l
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 1.6 Solving Linear Inequalities p.150 Principles for solving inequalities Same algebraic techniques as for solving equalities except. when both sides of an inequality are multiplied (or divided) by a negative number, the directi
Kennesaw - MATH - 1111
Lecture NotesSection 1.6 Solving Linear Inequalities p.150 Principles for solving inequalities Same algebraic techniques as for solving equalities except. when both sides of an inequality are multiplied (or divided) by a negative number, the directi
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 2.2 The Alegbra of Functions P.182 Combination of functions - Sums, Differences, Products and Quotients of Functions We can create new functions through the four operations listed.The Algebra is simple. The issue is determining
Kennesaw - MATH - 1111
Lecture NotesSection 2.2 The Alegbra of Functions P.182 Combination of functions - Sums, Differences, Products and Quotients of Functions We can create new functions through the four operations listed.The Algebra is simple. The issue is determining
Kennesaw - MATH - 1111
Lecture NotesSection 2.3 The Composition of Functions p.189, Composition of Functions p.197 #43 sx txx 3 x4 x 3 x4 s x t s x x blouse size in USx blouse size in Japant(x) blouse size in Australias(x) blouse size in USwant formula tha
Kennesaw - MATH - 1111
Lecture NotesSection 2.4 Symmetry and TransformationsSymmetryp.198 symmetry about x, y origin For symmetry imagine folding a piece of paper creased on the x axis or the y axis. p.199, Figure 1 symmetric around x axis Symmetry around x is not imp
Kennesaw - MATH - 1111
Lecture NotesSection 2.4 Symmetry and TransformationsSymmetryp.198 symmetry about x, y origin For symmetry imagine folding a piece of paper creased on the x axis or the y axis. p.199, Figure 1 symmetric around x axis Symmetry around x is not imp
Kennesaw - MATH - 1111
Lecture NotesSection 3.2 Quadratic Equations, Functions, and Models p.244 quadratic function format where a not equal to zero (b or c can be 0)f x ax 2 bx c Solving a quadratic equation p.244 standard form ax 2 bx c 0we are finding the zer
Kennesaw - MATH - 1111
Lecture NotesSection 3.2 Quadratic Equations, Functions, and Models 3x 2 x 5 p.244 quadratic function format where a not equal to zero (b or c can be 0)f x ax 2 bx c Solving a quadratic equation p.244 standard form ax 2 bx c 0we are find
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 fx 2x 2 12x 16which is the same as2shift
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 3.5 Solving absolute value equations |4| |x| 4or x 5 or x 55 |5| 5 | 5| 5Solving Absolute Value Equations p.287,#21 |x |x |x 1|3 6 1| 3 1| 3 x 13orx 4x 1 3 x -2| 2 1|3 6|41|3 6|x1| 3isolate term wit
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 4.3 Finding Zeros-Factoring Polynomials Means to Solve for x when function is higher than degree 2 (quadratics) Polynomial Division: The remainder and factor theorem If we divide a given polynomial by a binomial and get remainde
Kennesaw - MATH - 1111
Lecture NotesSection 4.3 Finding Zeros-Factoring Polynomials Means to Solve for x when function is higher than degree 2 (quadratics) Polynomial Division: The remainder and factor theorem If we divide a given polynomial by a binomial and get remainde
Kennesaw - MATH - 1111
Lecture NotesSection 5.2 Exponential Functions and Graphs p.394, Graphing Exponential Functions,54351 0x1 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
Kennesaw - MATH - 1111
Lecture NotesSection 5.4 Properties of Logarithmic Functions Product Rule, Quotient Rule, Power Rule, p.426 Objective is to consolidate multiple log statements into one or to split one log statement into multiples. Operations are only valid if the l
Kennesaw - MATH - 1111
Lecture NotesSection 5.4 Properties of Logarithmic Functions Product Rule, Quotient Rule, Power Rule, p.426 Objective is to consolidate multiple log statements into one or to split one log statement into multiples. Operations are only valid if the l
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.43632 2 3x 7 2 52 3x73x753x 12 x4an
Kennesaw - MATH - 1111
Lecture NotesSection R.3 p.18, Polynomials (algebraic expressions) Definitions 12x 0 12 1 12Term an element separated by a or - within a polynomial Within a term we can have coefficients, variables and exponents Coefficient leading numeric p
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.5fx f3 3x 7 3 3 7 235 solve . for the variable 4x 3 3 5 3 4x 8 4x 8 dividing by 4 is the same as multiplying by 4 44x x21 4The Basics of Equation Solving p.32 linear equation f x ax b is the format of a line
Kennesaw - MATH - 1111
Lecture NotesSection R.7 Radical Notation and Rational Exponents p.46, terminologyindexRadicand4382222x25radical the symbol radicand the expression under the radical index the number n &quot;A number C is said to be a square root of A
Kennesaw - MATH - 1111
Lecture NotesSection R.7 Radical Notation and Rational Exponents p.46, terminologyindex 3 3Radicand4 222228 82 222 2 2 2x2 5radical the symbol radicand the expression under the radical index the number n &quot;A number C is said t
Iowa State - BCB - 544
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Kennesaw - MATH - 1111
BBEPMC01_0312279093.QXP12/2/042:18 PMPage 103Section 1. 4Equations of Lines and Modeling1031.4Equations of Lines and ModelingFind the slope and the y-intercept of a line given the equation y mx b, or f x mx b. Graph a linear equati
Kennesaw - MATH - 1111
BBEPMC02_0312279093.QXP12/2/0411:39 AMPage 203Section 2.3Quadratic Equations, Functions, and Models2032.3Quadratic Equations, Functions, and ModelsFind zeros of quadratic functions and solve quadratic equations by using the princip
Kennesaw - MATH - 1111
BBEPMC02_0312279093.QXP12/2/0411:39 AMPage 220220Chapter 2Functions, Equations, and Inequalities2.4Analyzing Graphs of Quadratic FunctionsFind the vertex, the axis of symmetry, and the maximum or minimum value of a quadratic functi
Kennesaw - MATH - 1111
BBEPMC04_0312279093.QXP12/2/0411:50 AMPage 391Section 4 . 4Properties of Logarithmic Functions3914.4Properties of Logarithmic FunctionsConvert from logarithms of products, powers, and quotients to expressions in terms of individual
Iowa State - BCB - 544
BCB 444/544 Fall 06 Nov2Lab 9BCB 444/544 Lab 9/Seminar Feedback FormName _Important: To receive credit for Seminar attendance, you must submit this form to Drena, Michael, Jeff or Pete immediately after the seminar. If you don't see one of us
UCLA - POL SCI - 200
HW3: Models for Dichotomous VariablesPolitical Science 200D Winter 20081Dichotomous DataThe dataset votedata includes the voter registration files for five thousand voters from Fulton County, Georgia. The variables included in this dataset are
UCLA - POL SCI - 200
HW 5 or 6: Generalized Additive ModelsPolitical Science 200D Winter 2008In the dataset you plan to use for your final paper, run an exploratory model with a spline (or LOESS) of some independent variable. If you feel you already understand the func
Michigan State University - CSE - 470
Configuration Management and RCSCPS470 Fall 1999Configuration Management Managing a large development system is a difficult task, any tool that makes the job easier is welcome. Software CM is a discipline for controlling the evolution of softwar
Michigan State University - CSE - 470
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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
Lab 9 Notes:0. Test sample java code (done)1. Check date of installation of sparty statue (done)2. Change double quotes to single quotes in java-sql egs on ppt (done)3. Check syntax for obtaining year(date) in SQL (datepart - done)4. Add in
Michigan State University - CSE - 470
Java Abstract Windowing Toolkit java.awt: A java package that contains the classes and interfaces required for developing GUI interfaces in java Enhancement in Java 2: The Java Swing components available in javax.swing packageGUI Component Hierar
Michigan State University - CSE - 470
Introduction to MakeUpdated by Chirantana Sriram Fall 2000What Is Make ? Utility for maintaining up-to-date versions of programs When changes are made to the original source code, it will rebuild executables by determining which program modules
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 II1. (30) One of the more important commercial applications of electrical forces is the cathode ray tube (CRT). It is the heart of the television. The CRT consists of three main compo