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7 Pages

### FnceqVII

Course: MATH 119, Spring 2009
School: illinoisstate.edu
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Word Count: 3058

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and Functions Equations Part VII Script 3-04 --Slide 1 Title This section defines and investigates power and polynomial functions. Specifically, we will look at how the graphs of these functions look at the left and right ends. We can think of this as wha t the y values are doing as x gets really, really big and as x gets really, really small. --Slide 2 Title We will also see the connection between the roots of a...

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illinoisstate.edu - MATH - 119
Functions and Equations Part VI Script 3-04 -Slide 1 Title This section will focus on using quadratic equations to solve applied problems. We will have to use our knowledge of the graphs of quadratic functions. We will also use the Maximum and Minimum fun
illinoisstate.edu - MATH - 119
Functions and Equations Part V Script 3-04 -Slide 1 Title Throughout the semester, we will see how different functions create different graphs. This section deals with quadratic functions. -Slide 2 Title We will study the characteristics of quadratic func
illinoisstate.edu - MATH - 119
Functions and Equations Part III Script 2-04 -Slide 1 Title In this section, we will learn how to solve rather complicated equations. We will focus on those involving absolute value and square roots. We will develop reasoning behind the algebraic solutio
illinoisstate.edu - MATH - 119
Functions and Equations Part IV Script 2-04 -Slide 1 Title Here, we study relationships that are linear in nature, meaning their graphs are straight lines. -Slide 2 Title We will study slope and finding equations of lines given various information. -Slide
illinoisstate.edu - MATH - 119
Functions and Equations Part III Script 2-04 -Slide 1 Title In this section, we will learn how to solve rather complicated equations. We will focus on those involving absolute value and square roots. We will develop reasoning behind the algebraic solution
illinoisstate.edu - MATH - 119
Functions and Equations Part II Script 2-04 -Slide 1 Title The notes of this section cover piecewise functions and rate of change. These are fairly low-priority problems but they offer good practice manipulating algebra. -Slide 2 Title Well also cover inc
illinoisstate.edu - MATH - 119
Functions and Equations Part I Script 2-04 -Slide 1 Title This section covers story problems. -Slide 2 Title The one big rule is that you always define your variables by writing down specifically what the variable is to represent. Don't skimp on this step
illinoisstate.edu - MATH - 119
Functions and Equations Part I Script 2-04 -Slide 1 Title This section covers story problems. -Slide 2 Title The one big rule is that you always define your variables by writing down specifically what the variable is to represent. Don't skimp on this step
illinoisstate.edu - MATH - 119
The Basics Part IV Script 2-04 -Slide 1 Title This section discusses the calculator worksheets that will teach you how to use your calculator to solve problems. -Slide 2 Title We will investigate maximums and minimums of functions with our calculators. We
illinoisstate.edu - MATH - 119
The Basics Part IV Script 2-04 -Slide 1 Title This section discusses the calculator worksheets that will teach you how to use your calculator to solve problems. -Slide 2 Title We will investigate maximums and minimums of functions with our calculators. We
illinoisstate.edu - MATH - 119
The Basics Part III Script 2-04 -Slide 1 Title This section focuses on a very important concept, functions. We have worked with relationships between two variables. Now, and for most of the semester, we'll focus on relationships that are functions as well
illinoisstate.edu - MATH - 119
The Basics Part III Script 2-04 -Slide 1 Title This section focuses on a very important concept, functions. We have worked with relationships between two variables. Now, and for most of the semester, we'll focus on relationships that are functions as well
illinoisstate.edu - MATH - 119
The Basics Part I Script 2-04 -Slide 1 Title This section covers interpretation of sets of numbers using inequality notation, interval notation, and graphs on the real number line. -Slide 2 Title We will also start graphing on the Cartesian plane. This wi
illinoisstate.edu - MATH - 119
The Basics Part II Script 2-04 -Slide 1 Title This section is broken into two sections, solving equations and solving inequalities. Remember, to solve an equation means to find the value or values that makes the equation true. Solving an inequality will r
illinoisstate.edu - MATH - 119
The Basics Part I Script 2-04 -Slide 1 Title This section covers interpretation of sets of numbers using inequality notation, interval notation, and graphs on the real number line. -Slide 2 Title We will also start graphing on the Cartesian plane. This wi
illinoisstate.edu - MATH - 119
The Review Part II Script 2-04 -Slides 1 Title In this section, we focus on manipulating and simplifying expressions. -Slide 2 Title We will understand combining like terms and simplifying algebraic fractions. We will also investigate radical expressions
illinoisstate.edu - MATH - 119
The Review Part I Script 2-04 -Slide 1 Title This first section of review material is designed to remind us how to simplify algebraic expressions and to work on some trouble areas. Several worksheets will help us practice our skills and reinforce our kno
illinoisstate.edu - MATH - 119
College Algebra Online MATH 119 Syllabus Spring 2005 Revised Stefanie O'Leary-Johnson, Instructor Office: 303 H in Stevenson Hall Phone: 309-438-8094 (If you need to contact me, call me or talk to me after class.) Email: saolear@ilstu.edu (This is NOT a g
illinoisstate.edu - MATH - 119
College Algebra Lecture MATH 119 Syllabus Spring 2005 Stefanie O'Leary-Johnson, Instructor Office: 303 H in Stevenson Hall Phone: 309-438-8094 (If you need to contact me, call me or talk to me after class.) Email: saolear@ilstu.edu (This is NOT a good way
Naval Academy - IT - 430
IT430 Lab 7 - Applications Security Names. _, _ Work in groups of two to complete this lab Part Ia Stack Familiarization Describe the two methods that every stack must implement. Describe another method that most stacks implement. Open the Black-XP VMI
Naval Academy - IT - 430
UNCLASSIFIED I331 Technical Report I331007R2004Guide to the Secure Configuration of Solaris 9Operating Systems Division UNIX Team of the Systems and Network Attack Center (SNAC)Dated: 16 July 2004 Version 1.0National Security Agency 9800 Savage Rd. Su
Naval Academy - IT - 430
IT430 Lab 12 - Intrusion Detection / Intrusion Prevention and Proxies Names _, _ Complete this lab in groups of no more than two individuals Goal: Understand tradeoffs associated with Intrusion Detection and Prevention Part I: Intrusion Detection Work fro
Naval Academy - IT - 430
Defense in DepthA practical strategy for achieving Information Assurance in today's highly networked environments.Introduction. Defense in Depth is practical strategy for achieving Information Assurance in today's highly networked environments. It is a
SEMO - MA - 345
Error-Detecting and Error-Correcting CodesText Reference: Section 4.6, p. 259 In this set of exercises, we examine how we can construct a method for detecting and correcting errors made in the transmission of encoded messages. It will turn out that abstr
Iowa State - B - 344
Youth and 4-HBreeding Beef, Sheep, and Swine Project Record Worksheet (For Junior 4-H'ers)Name: County: Record Start Date: Record End Date: (Use one record worksheet for each type of project.) Project Type:Project Animal Information Name or tag number
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Appears in SIAM J. of Computing, Vol. 32, No. 3, pp. 586-615, 2003. An extended abstract of this paper appears in the Proceedings of Crypto 2001, volume 2139 of Lecture Notes in Computer Science, pages 213229, Springer-Verlag, 2001.Identity-Based Encrypt
Clark University - ECON - 308
Journal of EMPIRICALELSEVIER Journal of Empirical Finance 3 (1996) 123-192FINANCEThe forward discount anomaly and the risk premium: A survey of recent evidenceCharles EngelDepartment (~fEconomics. University of Washington. Seattle. WA 98195. USA NBER
UC Davis - ECI - 289
NEWS FEATURENATURE|Vol 447|10 May 2007IS THIS WHAT IT TAKES TO SAVE THE WORLD?Long marginalized as a dubious idea, altering the climate through geoengineering has staged something of a comeback. Oliver Morton reports.n the first week of June 1991, Mic
illinoisstate.edu - MATH - 119
Math 119 College algebra Final Exam Review Review Chapter Sections R.1, R.2, R.4, R.5, R.6, R.7, R.8, R.9 1. Simplify the following expression. A. 5 x 2 - 24 x + 15 B. 3x 3 + 20 x 2 - 27 x C. - 24 x 5 - 60 x 4 + 264 x 3 - 180 x 2 D. - 3x 3 + 8 x 2 + x - 5
illinoisstate.edu - MATH - 119
Final Information Sheet Math 119 Date: Monday, May 9 Time: 8:00 pm to 10:40 pm (Yes, at night!) Place: Edwards 235 Of course, you want to look over your notes, worksheets, homework, and tests. The &quot;Final Review&quot; document should be carefully completed. The
illinoisstate.edu - MATH - 119
Exam 4 Practice resource: Answers and suggestions for study The italicized items are worksheets. Look over all of the worksheets, notes, and homework. Get extra copies of the worksheets from www.nvrtd.com Number 1 Answer C Sections, worksheets to study Ad
illinoisstate.edu - MATH - 119
Math 119 NAME: Practice Exam 4 Advanced Functions and Equations Parts III through VII Sections 3.6, 6.1 6.7 This should give you an idea of what to expect on the exam. On the exam, you will use an Opscan sheet (fill-in-the-circles) to record your answers.
illinoisstate.edu - MATH - 119
Logarithmic and exponential applications Exponential decay and growthNAME:1. The half- life of Krypton-85 is 11 years. Suppose we have 100 grams of Krypton-85 now. Complete the table for the amount of Krypton-85 after t years. (Notice the values of t ar
illinoisstate.edu - MATH - 119
Logarithmic and exponential applications Solutions Exponential decay and growthNAME:1. The half- life of Krypton-85 is 11 years. Suppose we have 100 grams of Krypton-85 now. Complete the table for the amount of Krypton-85 after t years. (Notice the valu
illinoisstate.edu - MATH - 119
Logarithmic / Exponential applications Compound interestNAME:The first part of this worksheet investigates the connection between the two formulas we will use for compound interest. We will justify for ourselves that the continuous compounding formula A
illinoisstate.edu - MATH - 119
Logarithmic and exponential applications Solutions Intensity of soundNAME:1. The loudness of a sound (that's how loud it feels to the average human ear, in decibels) is related to the ratio of the intensity of the sound to a reference level. The equatio
illinoisstate.edu - MATH - 119
Logarithmic and exponential applications Intensity of soundNAME:1. The loudness of a sound (that's how loud it feels to the average human ear, in decibels) is related to the ratio of the intensity of the sound to a reference level. The equation that sho
illinoisstate.edu - MATH - 119
Solving exponential and logarithmic equations Solutions NAME: Here, we will solve exponential and logarithmic equations a few different ways to give you solid examples with which to study. Try the suggested methods. 1. Solve log 6 (3 x + 4 ) = 3 . Do so b
illinoisstate.edu - MATH - 119
Solving exponential and logarithmic equationsNAME:Here, we will solve exponential and logarithmic equations a few different ways to give you solid examples with which to study. Try the suggested methods. 1. Solve log 6 (3 x + 4 ) = 3 . Do so by using th
illinoisstate.edu - MATH - 119
Visiting with exponential and logarithmic functionsNAME:We will explore the relationship between y = a x and y = log a x . We will also work on the basic rules of logarithms. 1. Complete the table and graph y = 4 x . x -2y = 4x-101232. The invers
illinoisstate.edu - MATH - 119
DoThis 6.3 Solutions 1a.) In words, what does log 3 27 mean? the number to which I raise 3 to get 27NAME:b.) What is the numerical value of log 3 27 ? 3 because 33 = 272a.) In words, what does log 41 mean? 16the number to which I raise 4 to get 116b
illinoisstate.edu - MATH - 119
DoThis 6.3 1a.) In words, what does log 3 27 mean?NAME:b.) What is the numerical value of log 3 27 ?2a.) In words, what does log 41 mean? 16b.) What is the numerical value of log 41 ? 163.) Write 4 = 5 x as a logarithmic equation. (Recall x = 2 y i
illinoisstate.edu - MATH - 119
Working with exponential functions SolutionsNAME:1. Complete the table. Then plot and connect the points to form a graph of f ( x ) = 3 x . x -2 f (x ) = 3 x 3 -2 = 1 9-13 -1 = 13030 = 1131 = 3 32 = 922. Complete the table. Then plot and connect
illinoisstate.edu - MATH - 119
Logarithm Rules Worksheet SolutionsNAME:Remember to think of log b x as the number to which I raise b to get x. This is very important in the study of logs. Let b, v, and w be positive real numbers where b is not equal to one. Let k be a real number. 1.
illinoisstate.edu - MATH - 119
Working with exponential functionsNAME:1. Complete the table. Then plot and connect the points to form a graph of f ( x ) = 3 x . x -2 f (x ) = 3 x-10122. Complete the table. Then plot and connect the points to form a graph of f ( x ) = 1 3 . x -2
illinoisstate.edu - MATH - 119
Solving equations using inversesNAME:For each function, complete the following steps in the spaces provided. -Describe the function in words. What we do to an x to get a y? -Find the function's inverse. Do not simplify as you go. -Describe the inverse i
illinoisstate.edu - MATH - 119
Inverses of functions 2NAME:1. Complete the table. Then plot the points (and connect them) to create a graph of the relationship y = .5( x - 2) 2 - 3 . x -4 y = .5( x - 2) 2 - 3-2024682. Describe in words the rule that assigns a y value to each x
illinoisstate.edu - MATH - 119
Exam 3 Practice resource: Answers and suggestions for study The italicized items are worksheets. The other items refer to the notes and book. Number 1 2 Answer B C Sections, worksheets to study Functions and Equations Part V, Three possibilities for a qua
illinoisstate.edu - MATH - 119
Math 119 NAME: Exam 3 Practice Functions and Equations Parts V VII, Advanced Functions and Equations Parts I and II 1.3, 1.6, 2.3, 2.4, 3.4, 3.5, 4.1, 4.2, 4.3, 4.4, 4.5, 5.3 This should give you an idea of what to expect on the exam. On the exam, you wil
illinoisstate.edu - MATH - 119
Math 119 Solutions to 4.5 homework 7.) Here we are looking for the x values that make x 2 + x &gt; 12 . So graph y = x 2 + x and y = 12 and see where the first graph is greater than (or above) y = 12 . The graph is below.The intersection points are at x = -
illinoisstate.edu - MATH - 119
Inequalities and you 3NAME:This worksheet will provide practice for solving absolute value, polynomial, and rational inequalities. We will also work on understanding why the procedures work. We will solve problems both algebraically and graphically. 1.
illinoisstate.edu - MATH - 119
Inequalities and you 3 SolutionsNAME:This worksheet will provide practice for solving absolute value, polynomial, and rational inequalities. We will also work on understanding why the procedures work. We will solve problems both algebraically and graphi
illinoisstate.edu - MATH - 119
Functions: Composition and operations SolutionsNAME:This worksheet will provide practice for adding, subtracting, dividing, and composing two functions. We will also investigate domains. 1. Let f ( x ) = 5x + 7 - 4 x and g ( x) = 5 x 2 + 7 x - 5 . Perfo
illinoisstate.edu - MATH - 119
Functions: Composition and operationsNAME:This worksheet will provide practice for adding, subtracting, dividing, and composing two functions. We will also investigate domains. 1. Let f ( x ) = 5x + 7 - 4 x and g ( x) = 5 x 2 + 7 x - 5 . Perform the des
illinoisstate.edu - MATH - 119
Polynomial functions: End behavior SolutionsNAME:In this lab, we are looking at the end behavior of polynomial graphs, i.e. what is happening to the y values at the (left and right) ends of the graph. In other words, we are interested in what is happeni
illinoisstate.edu - MATH - 119
Connection between polynomial and power functionsNAME:We will investigate how the end behavior of a polynomial function can be simplified by looking at its leading term. On this worksheet, it is not necessary to get too critical of your graphs; we are p
illinoisstate.edu - MATH - 119
Power functions: End behaviorNAME:We will investigate how we can tell the end behavior of a power function just by looking at its equation. Remember end behavior answers the question, &quot;what is happening to the y values as x gets really small (left end o
illinoisstate.edu - MATH - 119
Quadratic worksheet Maximums and minimumsNAME:We will investigate quadratic relationships whose graphs have maximum or minimum y values. They are called local or relative maximums or minimums because, compared to other nearby points, they have the large
illinoisstate.edu - MATH - 119
Quadratic functions: Maximums and minimums practiceNAME:1. Without graphing, determine the vertex of the function f ( x ) = 3x 2 - 5 x + 8 . Remember the vertex is a point; write it in ordered pair notation.2. Use your calculator to graph f ( x ) = 3x
illinoisstate.edu - MATH - 119
Quadratic functions Solutions : Maximums and minimums practiceNAME:1. Without graphing, determine the vertex of the function f ( x ) = 3x 2 5 x + 8 . Remember the vertex is a point; write it in ordered pair notation.x= b 5 5 = = = .83 2a 2 3 6f (.83)
illinoisstate.edu - MATH - 119
Quadratic functions practice SolutionsNAME:For questions 1 through 3, determine the functions orientation, y- intercept, and vertex (without graphing). Remember, a vertex has an x and a y value. Then provide a quick sketch of the parabola. Show your wor