4. Sketch the graph of the function. Ans: A 9. Sketch the graph of the function. Ans B. Version 1 Page 1
|
|
- Antony Hensley
- 6 years ago
- Views:
Transcription
1 Name: Online ECh5 Prep Date: Scientific Calc ONLY! 4. Sketch the graph of the function. A) 9. Sketch the graph of the function. B) Ans B Version 1 Page 1
2 _ 10. Use a graphing utility to determine which graph below is the graph of the function. E) Ans: E 11. Use the One-to-One Property to solve the following equation for x. 1 6x1 D) Use the One-to-One Property to solve the following equation for x. x 18 C) 7 Ans C : 1. Which investment option will pay the most interest? A) 9.6% compounded annually B) 9.4% compounded semiannually C) 9.% compounded quarterly D) 9.0% compounded continuously E) These investments all pay the same amount of interest. Version 1 Page
3 14. Let Q represent a mass of radioactive radium ( 6 Ra) (in grams), whose half-life is 1599 years. The quantity of radium present after t years is t / Q Determine the quantity present after 400 years. Round to the nearest hundredth of a gram. D).5 g Rewrite the logarithmic equation log 4 in exponential form. 16 C) Rewrite the exponential equation 1 in logarithmic form. 9 A) 1 log Evaluate the function f ( x) log4 x at x without using a calculator. 4 B) 1 1. Identify the x-intercept of the function y log4 x. B) Identify the vertical asymptote of the function f ( x) log( x ). C) x. Identify the the value of the function f( x) log. D) 1 Version 1 Page
4 4. Use a graphing utility to graph the function. B) 5. Write the logarithmic equation ln in exponential form. A) e 4 6. Write the exponential equation 1/ e in logarithmic form. D) ln Evaluate the function f ( x) ln x at x Round to decimal places. (You may use your calculator.) B) Evaluate the function x f ( x) ln e at x 4 without using a calculator. A) 0. Identify the x-intercept of the function f ( x) 4ln( x 1). D) x = Version 1 Page 4
5 1. Solve the equation ln x ln( e ) for x using the One-to-One Property. D) e. Solve the equation log(1 x) log(10) for x using the One-to-One Property. B) 9 5. Rewrite the logarithm log4 1 in terms of the natural logarithm. A) ln1 ln 4 6. Rewrite the logarithm log5 in terms of the common logarithm (base 10). B) log log5 9. Simplify the expression log5 5. A) log Simplify the expression B) log Find the exact value of log41 log4 without using a calculator. B) 1 4. Find the exact value of 1.50 ln e ln e without using a calculator. C) 1 Version 1 Page
6 4. Find the exact value of log 4 16 without using a calculator. D) 44. Expand the expression as a sum, difference, and/or constant multiple of logarithms. D) Condense the expression [log 4 x log 4 ] [log 4 y ] to the logarithm of a single term. 5 D) 5 x log4 y Determine whether or not x is a solution to 7 B) no 4x Determine whether or not ( x e 1) is a solution to ln(x 1). A) yes 54. Solve ln x 11 for x. D) 11/ 11/ e, e 57. Solve for x: x (6 x e e ) 9. Round to decimal places. C) Version 1 Page
7 59. Approximate the solution of 4x 1e 9 to decimal places. (You may use a graphing utility.) E) 0.1 Ans: E 6. Approximate the solution to ln( x) ln x 4. Round to decimal places. C) Use a graphing utility to approximate the solution to log6x log 6(x1). Round to decimal places. D) Glove and mitten warmers have become popular over the past few years. These devices consist of a paper pouch filled with a chemical mixture that reacts and releases heat when exposed to air. At a time t (in minutes) after being exposed to air at a temperature of o F, the temperature T of the pouch (in o F) can be modeled by the equation 1/ t T( t) 85e, 0 t 00 Find the time necessary for the warmer to reach a temperature of 106 o F. Round to the nearest tenth of a minute. E) 9.7 minutes Ans: E 68. An initial investment of $000 grows at an annual interest rate of 7% compounded continuously. How long will it take to double the investment? A) 9.90 years 70. The value of an investment is presently $ It had been paying 9% compounded continuously since the investment was made 10 years ago. How much was invested originally? B) $ How long will it take an investment that pays 4% compounded annually to double in value? Round to the nearest tenth of a year. A) 17.7 years Version 1 Page 4
8 74. What is the half-life of a radioactive substance if.4 g decays to 0.80 g in 40 hours? Round to the nearest tenth of an hour. A) 5. hours 75. The half-life of 14 Ba is 8.7 hours. How much of a 17. g sample of 14 Ba will be left after hours? Round to the nearest hundredth of a gram. C) 4.04 g 76. The population P of a culture of bacteria is described by the equation t P 1600e, where t is the time, in hours, relative to the time at which the population was What was the population at t = 5 hours? After how many hours will the population reach 11,000? Round to the nearest tenth of an hour. C) approximate population 18 when t 5 after.8 hours, P 11, The population P of a bacteria culture is modeled by 4100 kt P e, where t is the time in hours. If the population of the culture was 5800 after 40 hours, how long does it take for the population to double? Round to the nearest tenth of an hour. D) 79.9 hours 8. The decibel (db) is defined as db 10log P, where P is the power of a particular signal and P 1 is P 1 the power of some reference signal. In the case of sounds, the reference signal is a sound level that is just barely audible. How many dbs does a sound have if its power is 665,000 times that of the reference sound? Round to the nearest tenth. B) 58. db 8. It is against the law in some municipalities to play a car stereo so loud that the level of the sound is 75 db 50 feet from the source. The unit "db" refers to decibels and is defined as db 10log P, P 1 where P is the power density of the sound in question, and P 1 is a reference sound which is just barely audible, 10-1 watt/m. What is the level of sound as measured in dbs if 4 P 10 watts/m C) 84.8 db? Round to the nearest tenth. Version 1 Page 5
9 84. The chemical acidity of a solution is measured in units of ph: ph log[h ], where [H + ] is the hydrogen ion concentration in the solution. What is the ph if [H ] 7 10? Round to the nearest hundredth. D) The chemical acidity of a solution is measured in units of ph: ph log[h ], where [H + ] is the hydrogen ion concentration in the solution. If a sample of rain has a ph of., how many times higher is its [H + ] than pure water's, which has a ph of 7? D) Version 1 Page 6
Algebra 2 Honors. Logs Test Review
Algebra 2 Honors Logs Test Review Name Date Let ( ) = ( ) = ( ) =. Perform the indicated operation and state the domain when necessary. 1. ( (6)) 2. ( ( 3)) 3. ( (6)) 4. ( ( )) 5. ( ( )) 6. ( ( )) 7. (
More informationLogarithmic Functions
Logarithmic Functions Definition 1. For x > 0, a > 0, and a 1, y = log a x if and only if x = a y. The function f(x) = log a x is called the logarithmic function with base a. Example 1. Evaluate the following
More informationEvaluate the expression using the values given in the table. 1) (f g)(6) x f(x) x g(x)
M60 (Precalculus) ch5 practice test Evaluate the expression using the values given in the table. 1) (f g)(6) 1) x 1 4 8 1 f(x) -4 8 0 15 x -5-4 1 6 g(x) 1-5 4 8 For the given functions f and g, find the
More informationPre-Calculus Exponential/Logarithm Quiz 3A Name Date Period Part 1: Non-Calculator 1. Determine which graph below is the graph of the function.
Pre-Calculus Exponential/Logarithm Quiz A Name Date Period Part : Non-Calculator. Determine which graph below is the graph of the function. E). Identif the operation that will transform the graph of (
More information, identify what the letters P, r, n and t stand for.
1.In the formula At p 1 r n nt, identify what the letters P, r, n and t stand for. 2. Find the exponential function whose graph is given f(x) = a x 3. State the domain and range of the function (Enter
More informationEvaluate the exponential function at the specified value of x. 1) y = 4x, x = 3. 2) y = 2x, x = -3. 3) y = 243x, x = ) y = 16x, x = -0.
MAT 205-01C TEST 4 REVIEW (CHAP 13) NAME Evaluate the exponential function at the specified value of x. 1) y = 4x, x = 3 2) y = 2x, x = -3 3) y = 243x, x = 0.2 4) y = 16x, x = -0.25 Solve. 5) The number
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Decide if the function is an exponential function. If it is, state the initial value and
More informationMath 137 Exam #3 Review Guide
Math 7 Exam # Review Guide The third exam will cover Sections.-.6, 4.-4.7. The problems on this review guide are representative of the type of problems worked on homework and during class time. Do not
More informationHonors Advanced Algebra Chapter 8 Exponential and Logarithmic Functions and Relations Target Goals
Honors Advanced Algebra Chapter 8 Exponential and Logarithmic Functions and Relations Target Goals By the end of this chapter, you should be able to Graph exponential growth functions. (8.1) Graph exponential
More informationIntermediate Algebra Chapter 12 Review
Intermediate Algebra Chapter 1 Review Set up a Table of Coordinates and graph the given functions. Find the y-intercept. Label at least three points on the graph. Your graph must have the correct shape.
More informationChapter 6: Exponential and Logarithmic Functions
Section 6.1: Algebra and Composition of Functions #1-9: Let f(x) = 2x + 3 and g(x) = 3 x. Find each function. 1) (f + g)(x) 2) (g f)(x) 3) (f/g)(x) 4) ( )( ) 5) ( g/f)(x) 6) ( )( ) 7) ( )( ) 8) (g+f)(x)
More informationMA Lesson 30 Exponential and Logarithmic Application Problems
MA 15200 Lesson 30 Exponential and Logarithmic Application Problems In order to solve the applied problems in this lesson, a student must know how to use the x log, ln, e, and power key functions on a
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) An initial investment of $14,000 is invested for 9 years in an account
More informationPractice 6-1: Exponential Equations
Name Class Date Practice 6-1: Exponential Equations Which of the following are exponential functions? For those that are exponential functions, state the initial value and the base. For those that are
More informationChapter 11 Logarithms
Chapter 11 Logarithms Lesson 1: Introduction to Logs Lesson 2: Graphs of Logs Lesson 3: The Natural Log Lesson 4: Log Laws Lesson 5: Equations of Logs using Log Laws Lesson 6: Exponential Equations using
More informationStudy Guide and Review - Chapter 7
Choose a word or term from the list above that best completes each statement or phrase. 1. A function of the form f (x) = b x where b > 1 is a(n) function. exponential growth 2. In x = b y, the variable
More informationExample. Determine the inverse of the given function (if it exists). f(x) = 3
Example. Determine the inverse of the given function (if it exists). f(x) = g(x) = p x + x We know want to look at two di erent types of functions, called logarithmic functions and exponential functions.
More informationHomework 3. (33-40) The graph of an exponential function is given. Match each graph to one of the following functions.
Homework Section 4. (-40) The graph of an exponential function is given. Match each graph to one of the following functions. (a)y = x (b)y = x (c)y = x (d)y = x (e)y = x (f)y = x (g)y = x (h)y = x (46,
More informationExponential and Logarithmic Functions. Copyright Cengage Learning. All rights reserved.
Exponential and Logarithmic Functions Copyright Cengage Learning. All rights reserved. 4.6 Modeling With Exponential And Logarithmic Functions Copyright Cengage Learning. All rights reserved. Objectives
More informationDay Date Assignment. 7.1 Notes Exponential Growth and Decay HW: 7.1 Practice Packet Tuesday Wednesday Thursday Friday
1 Day Date Assignment Friday Monday /09/18 (A) /1/18 (B) 7.1 Notes Exponential Growth and Decay HW: 7.1 Practice Packet Tuesday Wednesday Thursday Friday Tuesday Wednesday Thursday Friday Monday /1/18
More informationAn equation of the form y = ab x where a 0 and the base b is a positive. x-axis (equation: y = 0) set of all real numbers
Algebra 2 Notes Section 7.1: Graph Exponential Growth Functions Objective(s): To graph and use exponential growth functions. Vocabulary: I. Exponential Function: An equation of the form y = ab x where
More informationHW#1. Unit 4B Logarithmic Functions HW #1. 1) Which of the following is equivalent to y=log7 x? (1) y =x 7 (3) x = 7 y (2) x =y 7 (4) y =x 1/7
HW#1 Name Unit 4B Logarithmic Functions HW #1 Algebra II Mrs. Dailey 1) Which of the following is equivalent to y=log7 x? (1) y =x 7 (3) x = 7 y (2) x =y 7 (4) y =x 1/7 2) If the graph of y =6 x is reflected
More informationPre-Calculus Final Exam Review Units 1-3
Pre-Calculus Final Exam Review Units 1-3 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the value for the function. Find f(x - 1) when f(x) = 3x
More informationChapter 7 Review. Name: Class: Date: = = log log log log b. 7. log log x 6 log (x + 2)
Name: Class: Date: ID: A Chapter 7 Review Write the equation in logarithmic form. 1. 2 5 = 32 4 3 2. 125 = 625 Evaluate the logarithm. 3. log 5 1 625 4. log 3 243 5. log 0.01 Write the expression as a
More informationUnit 5: Exponential and Logarithmic Functions
71 Rational eponents Unit 5: Eponential and Logarithmic Functions If b is a real number and n and m are positive and have no common factors, then n m m b = b ( b ) m n n Laws of eponents a) b) c) d) e)
More informationMath 1101 Exam 3 Practice Problems
Math 1101 Exam 3 Practice Problems These problems are not intended to cover all possible test topics. These problems should serve as an activity in preparing for your test, but other study is required
More informationFLC Ch 9. Ex 2 Graph each function. Label at least 3 points and include any pertinent information (e.g. asymptotes). a) (# 14) b) (# 18) c) (# 24)
Math 5 Trigonometry Sec 9.: Exponential Functions Properties of Exponents a = b > 0, b the following statements are true: b x is a unique real number for all real numbers x f(x) = b x is a function with
More informationExponential and Logarithmic Functions. 3. Pg #17-57 column; column and (need graph paper)
Algebra 2/Trig Unit 6 Notes Packet Name: Period: # Exponential and Logarithmic Functions 1. Worksheet 2. Worksheet 3. Pg 483-484 #17-57 column; 61-73 column and 76-77 (need graph paper) 4. Pg 483-484 #20-60
More informationPart 4: Exponential and Logarithmic Functions
Part 4: Exponential and Logarithmic Functions Chapter 5 I. Exponential Functions (5.1) II. The Natural Exponential Function (5.2) III. Logarithmic Functions (5.3) IV. Properties of Logarithms (5.4) V.
More information2015 2nd Semester Exam Review
Algebra 2 2015 2nd Semester Exam Review 1. Write a function whose graph is a translation of the graph of the function in two directions. Describe the translation. 2. What are the solutions to the equation?
More informationAlgebra 2, Spring Semester Review
Class: Date: Algebra, Spring Semester Review 1. (1 point) Graph the relation and its inverse. Use open circles to graph the points of the inverse. x 0 4 9 10 y 3 7 1 a. c. b. d. 1 . (1 point) Is relation
More informationMath 180 Chapter 4 Lecture Notes. Professor Miguel Ornelas
Math 80 Chapter 4 Lecture Notes Professor Miguel Ornelas M. Ornelas Math 80 Lecture Notes Section 4. Section 4. Inverse Functions Definition of One-to-One Function A function f with domain D and range
More informationGraphing Exponentials 6.0 Topic: Graphing Growth and Decay Functions
Graphing Exponentials 6.0 Topic: Graphing Growth and Decay Functions Date: Objectives: SWBAT (Graph Exponential Functions) Main Ideas: Mother Function Exponential Assignment: Parent Function: f(x) = b
More informationCHAPTER 7. Logarithmic Functions
CHAPTER 7 Logarithmic Functions 7.1 CHARACTERISTICS OF LOGARITHMIC FUNCTIONS WITH BASE 10 AND BASE E Chapter 7 LOGARITHMS Logarithms are a new operation that we will learn. Similar to exponential functions,
More informationObjectives. Use the number e to write and graph exponential functions representing realworld
Objectives Use the number e to write and graph exponential functions representing realworld situations. Solve equations and problems involving e or natural logarithms. natural logarithm Vocabulary natural
More informationInverse Functions. Definition 1. The exponential function f with base a is denoted by. f(x) = a x
Inverse Functions Definition 1. The exponential function f with base a is denoted by f(x) = a x where a > 0, a 1, and x is any real number. Example 1. In the same coordinate plane, sketch the graph of
More informationExponential and Logarithmic Functions
Exponential and Logarithmic Functions Learning Targets 1. I can evaluate, analyze, and graph exponential functions. 2. I can solve problems involving exponential growth & decay. 3. I can evaluate expressions
More informationExponential Functions Concept Summary See pages Vocabulary and Concept Check.
Vocabulary and Concept Check Change of Base Formula (p. 548) common logarithm (p. 547) exponential decay (p. 524) exponential equation (p. 526) exponential function (p. 524) exponential growth (p. 524)
More informationnt and A = Pe rt to solve. 3) Find the accumulated value of an investment of $10,000 at 4% compounded semiannually for 5 years.
Exam 4 Review Approximate the number using a calculator. Round your answer to three decimal places. 1) 2 1.7 2) e -1.4 Use the compound interest formulas A = P 1 + r n nt and A = Pe rt to solve. 3) Find
More informationCollege Algebra and College Algebra with Review Final Review
The final exam comprises 30 questions. Each of the 20 multiple choice questions is worth 3 points and each of the 10 open-ended questions is worth 4 points. Instructions for the Actual Final Exam: Work
More informationThe Exponential function f with base b is f (x) = b x where b > 0, b 1, x a real number
Chapter 4: 4.1: Exponential Functions Definition: Graphs of y = b x Exponential and Logarithmic Functions The Exponential function f with base b is f (x) = b x where b > 0, b 1, x a real number Graph:
More informationMath 103 Intermediate Algebra Final Exam Review Practice Problems
Math 10 Intermediate Algebra Final Eam Review Practice Problems The final eam covers Chapter, Chapter, Sections 4.1 4., Chapter 5, Sections 6.1-6.4, 6.6-6.7, Chapter 7, Chapter 8, and Chapter 9. The list
More informationExponential Growth (Doubling Time)
Exponential Growth (Doubling Time) 4 Exponential Growth (Doubling Time) Suppose we start with a single bacterium, which divides every hour. After one hour we have 2 bacteria, after two hours we have 2
More informationAlgebra II. Slide 1 / 261. Slide 2 / 261. Slide 3 / 261. Linear, Exponential and Logarithmic Functions. Table of Contents
Slide 1 / 261 Algebra II Slide 2 / 261 Linear, Exponential and 2015-04-21 www.njctl.org Table of Contents click on the topic to go to that section Slide 3 / 261 Linear Functions Exponential Functions Properties
More informationPre-Calculus Semester 1 Practice Final
Class: Date: Pre-Calculus Semester Practice Final Multiple Choice Identify the choice that best completes the statement or answers the question.. Evaluate the function at the specified value of the independent
More informationMA Lesson 14 Notes Summer 2016 Exponential Functions
Solving Eponential Equations: There are two strategies used for solving an eponential equation. The first strategy, if possible, is to write each side of the equation using the same base. 3 E : Solve:
More informationMA 109 College Algebra EXAM 3 - REVIEW
MA 109 College Algebra EXAM - REVIEW Name: Sec.: 1. In the picture below, the graph of y = f(x) is the solid graph, and the graph of y = g(x) is the dashed graph. Find a formula for g(x). y (a) g(x) =f(2x)
More informationMath-3 Lesson 8-7. b) ph problems c) Sound Intensity Problems d) Money Problems e) Radioactive Decay Problems. a) Cooling problems
Math- Lesson 8-7 Unit 5 (Part-) Notes 1) Solve Radical Equations ) Solve Eponential and Logarithmic Equations ) Check for Etraneous solutions 4) Find equations for graphs of eponential equations 5) Solve
More informationEXPONENTIAL, LOGARITHMIC, AND TRIGONOMETRIC FUNCTIONS
Calculus for the Life Sciences nd Edition Greenwell SOLUTIONS MANUAL Full download at: https://testbankreal.com/download/calculus-for-the-life-sciences-nd-editiongreenwell-solutions-manual-/ Calculus for
More informationWhat You Need to Know for the Chapter 7 Test
Score: /46 Name: Date: / / Hr: Alg 2C Chapter 7 Review - WYNTK CH 7 What You Need to Know for the Chapter 7 Test 7.1 Write & evaluate exponential expressions to model growth and decay situations. Determine
More information4 Exponential and Logarithmic Functions
4 Exponential and Logarithmic Functions 4.1 Exponential Functions Definition 4.1 If a > 0 and a 1, then the exponential function with base a is given by fx) = a x. Examples: fx) = x, gx) = 10 x, hx) =
More informationINTERNET MAT 117 Review Problems. (1) Let us consider the circle with equation. (b) Find the center and the radius of the circle given above.
INTERNET MAT 117 Review Problems (1) Let us consider the circle with equation x 2 + y 2 + 2x + 3y + 3 4 = 0. (a) Find the standard form of the equation of the circle given above. (b) Find the center and
More information2. (10 points) Find an equation for the line tangent to the graph of y = e 2x 3 at the point (3/2, 1). Solution: y = 2(e 2x 3 so m = 2e 2 3
November 24, 2009 Name The total number of points available is 145 work Throughout this test, show your 1 (10 points) Find an equation for the line tangent to the graph of y = ln(x 2 +1) at the point (1,
More informationAlgebra II Honors Final Exam Review
Class: Date: Algebra II Honors Final Exam Review Short Answer. Evaluate the series 5n. 8 n =. Evaluate the series (n + ). n = What is the sum of the finite arithmetic series?. 9+ + 5+ 8+ + + 59. 6 + 9
More informationName. 6) f(x) = x Find the inverse of the given function. 1) f(x) = x + 5. Evaluate. 7) Let g(x) = 6x. Find g(3) 2) f(x) = -3x
Exam 2 Preparation Ch 5 & 6 v01 There will be 25 questions on Exam 2. Fourteen questions from chapter 5 and eleven questions from chapter 6. No Book/No Notes/No Ipod/ No Phone/Yes Calculator/55 minutes
More informationChapters 8 & 9 Review for Final
Math 203 - Intermediate Algebra Professor Valdez Chapters 8 & 9 Review for Final SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the formula for
More information1 PreCalculus AP U2 Exponentials (MCR) & Logarithms (MHF) Name:
1 PreCalculus AP U2 Exponentials (MCR) & Logarithms (MHF) Name: Big idea This unit introduces you to a new type of function the exponential function. There are many relationships in real life that either
More informationChapter 7 Exponential and Logarithmic Functions Review Packet
Non-Calculator Chapter 7 Exponential and Logarithmic Functions Review Packet Possible topics: Graphing exponential and logarithmic functions (and their transformations), switching between logarithmic and
More informationExponential Functions and Their Graphs (Section 3-1)
Exponential Functions and Their Graphs (Section 3-1) Essential Question: How do you graph an exponential function? Students will write a summary describing the steps for graphing an exponential function.
More informationReview of Functions A relation is a function if each input has exactly output. The graph of a function passes the vertical line test.
CA-Fall 011-Jordan College Algebra, 4 th edition, Beecher/Penna/Bittinger, Pearson/Addison Wesley, 01 Chapter 5: Exponential Functions and Logarithmic Functions 1 Section 5.1 Inverse Functions Inverse
More informationMath 370 Exam 2 Review Name
Math 70 Exam 2 Review Name Be sure to complete these problems before the review session. 10 of these questions will count as a quiz in Learning Catalytics. Round 1 will be individual. Round 2 will be in
More informationYou identified, graphed, and described several parent functions. (Lesson 1-5)
You identified, graphed, and described several parent functions. (Lesson 1-5) Evaluate, analyze, and graph exponential functions. Solve problems involving exponential growth and decay. algebraic function
More informationSkill 6 Exponential and Logarithmic Functions
Skill 6 Exponential and Logarithmic Functions Skill 6a: Graphs of Exponential Functions Skill 6b: Solving Exponential Equations (not requiring logarithms) Skill 6c: Definition of Logarithms Skill 6d: Graphs
More informationCOLLEGE ALGEBRA. Practice Problems Exponential and Logarithm Functions. Paul Dawkins
COLLEGE ALGEBRA Practice Problems Eponential and Logarithm Functions Paul Dawkins Table of Contents Preface... ii Eponential and Logarithm Functions... Introduction... Eponential Functions... Logarithm
More informationEXAM 3 Tuesday, March 18, 2003
MATH 12001 Precalculus: Algebra & Trigonometry Spring 2003 Sections 2 & 3 Darci L. Kracht Name: Score: /100. 115 pts available EXAM 3 Tuesday, March 18, 2003 Part I: NO CALCULATORS. (You must turn this
More informationSHORT ANSWER. Answer the question, including units in your answer if needed. Show work and circle your final answer.
Math 131 Group Review Assignment (5.5, 5.6) Print Name SHORT ANSWER. Answer the question, including units in your answer if needed. Show work and circle your final answer. Solve the logarithmic equation.
More informationAlgebra 2, Spring Semester Review 2013
Class: Date: Algebra, Spring Semester Review 01 1. (1 point) Find the annual percent increase or decrease that y = 0.5(.) x models. 0% increase 0% decrease 10% increase d. 5% decrease. (1 point) An initial
More informationExponents and Logarithms Exam
Name: Class: Date: Exponents and Logarithms Exam Multiple Choice Identify the choice that best completes the statement or answers the question.. The decay of a mass of a radioactive sample can be represented
More informationReview of Exponential Relations
Review of Exponential Relations Integrated Math 2 1 Concepts to Know From Video Notes/ HW & Lesson Notes Zero and Integer Exponents Exponent Laws Scientific Notation Analyzing Data Sets (M&M Lab & HW/video
More informationExponential and Logarithmic Functions. Exponential Functions. Example. Example
Eponential and Logarithmic Functions Math 1404 Precalculus Eponential and 1 Eample Eample Suppose you are a salaried employee, that is, you are paid a fied sum each pay period no matter how many hours
More information9.1 Exponential Growth
9.1 Exponential Growth 1. Complete Activity 1 a. Complete the chart using the x formula y = 300 2 Advanced Algebra Chapter 9 - Note Taking Guidelines Complete each Now try problem after studying the previous
More information4. Find x, log 4 32 = x. 5. ln e ln ln e. 8. log log log 3 243
Session #5 Logarithms What is a log? it is the inverse of an exponential equation. When you take the inverse of an exponential equation with a base of e, you have a natural logarithm, written as ln. 1.
More informationSkills Practice Skills Practice for Lesson 8.1
Skills Practice Skills Practice for Lesson.1 Name Logs, Exponents, and More Solving Exponential and Logarithmic Equations Date Problem Set Solve each logarithmic equation by first converting to an exponential
More informationMATH 1113 Exam 2 Review. Spring 2018
MATH 1113 Exam 2 Review Spring 2018 Section 3.1: Inverse Functions Topics Covered Section 3.2: Exponential Functions Section 3.3: Logarithmic Functions Section 3.4: Properties of Logarithms Section 3.5:
More information#2 Points possible: 1. Total attempts: 2 An exponential function passes through the points (0, 3) and (3, 375). What are the
Week 9 Problems Name: Neal Nelson Show Scored View #1 Points possible: 1. Total attempts: 2 For each table below, could the table represent a function that is linear, exponential, or neither? f(x) 90 81
More informationSmall Investment, Big Reward
Lesson.1 Assignment Name Date Small Investment, Big Reward Exponential Functions 1. Wildlife biologists are studying the coyote populations on 2 wildlife preserves to better understand the role climate
More informationExploring the Logarithmic Function Pg. 451 # 1 6. Transformations of the Logarithmic Function Pg. 457 # 1 4, 7, 9
UNIT 7 EXPONENTIAL AND LOGARITHMIC FUNCTIONS Date Lesson Text TOPIC Homework Dec. 7. (70) 8. Exploring the Logarithmic Function Pg. 45 # 6 Dec. 4 7. (7) 8. Transformations of the Logarithmic Function Pg.
More informationMATH 1113 Exam 2 Review
MATH 1113 Exam 2 Review Section 3.1: Inverse Functions Topics Covered Section 3.2: Exponential Functions Section 3.3: Logarithmic Functions Section 3.4: Properties of Logarithms Section 3.5: Exponential
More informationSemester 1 Exam Review
Semester 1 Exam Review Name Show all your work on a separate sheet this will be turned in the day of the exam and count towards calculation of your semester exam grade. Chapter 1 1. Solve. x 6 5 x 6 x
More informationnotes.notebook April 08, 2014
Chapter 7: Exponential Functions graphs solving equations word problems Graphs (Section 7.1 & 7.2): c is the common ratio (can not be 0,1 or a negative) if c > 1, growth curve (graph will be increasing)
More informationAlgebra 2 - Classwork April 25, Review
Name: ID: A Algebra 2 - Classwork April 25, 204 - Review Graph the exponential function.. y 4 x 2. Find the annual percent increase or decrease that y 0.5(2.) x models. a. 20% increase c. 5% decrease b.
More information* Circle these problems: 23-27, 37, 40-44, 48, No Calculator!
AdvPreCal 1 st Semester Final Eam Review Name 1. Solve using interval notation: 7 8 * Circle these problems: -7, 7, 0-, 8, 6-66 No Calculator!. Solve and graph: 0. Solve using a number line and leave answer
More informationExponential and Logarithmic Modeling
Exponential and Logarithmic Modeling Multiple Choice Identify the choice that best completes the statement or answers the question. 1. An initial population of 505 quail increases at an annual rate of
More informationName Math 125 Exam 3 Review. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Name Math 125 Exam 3 Review SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. All of the values of functions g and f are shown in the given table. 1) Find
More informationChapter 3 Exponential and Logarithmic Functions
Chapter 3 Exponential and Logarithmic Functions Overview: 3.1 Exponential Functions and Their Graphs 3.2 Logarithmic Functions and Their Graphs 3.3 Properties of Logarithms 3.4 Solving Exponential and
More informationExponential and Logarithmic Functions
C H A P T ER Exponential and Logarithmic Functions Scarlet macaws are native to the jungles of Southern Mexico and Central America, and can live up to 75 years. However, macaws and other birds are threatened
More informationThe function is defined for all values of x. Therefore, the domain is set of all real numbers.
Graph each function. State the domain and range. 1. f (x) = 3 x 3 + 2 The function is defined for all values of x. Therefore, the domain is set of all real numbers. The value of f (x) tends to 2 as x tends
More informationAlgebra II: Chapter 4 Semester Review Multiple Choice: Select the letter that best answers the question. D. Vertex: ( 1, 3.5) Max. Value: 1.
Algebra II: Chapter Semester Review Name Multiple Choice: Select the letter that best answers the question. 1. Determine the vertex and axis of symmetry of the. Determine the vertex and the maximum or
More informationMath 095 Final Exam Review - MLC
Math 095 Final Exam Review - MLC Although this is a comprehensive review, you should also look over your old reviews from previous modules, the readings, and your notes. Round to the thousandth unless
More informationp351 Section 5.5: Bases Other than e and Applications
p351 Section 5.5: Bases Other than e and Applications Definition of Exponential Function to Base a If a is a positive real number (a 1) and x is any real number, then the exponential function to the base
More informationName Math 125 Exam 3 Review. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Name Math 125 Exam 3 Review SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem. All of the values of functions g and f are shown in the
More informationChapter 3 Exponential and Logarithmic Functions
Chapter 3 Exponential and Logarithmic Functions Overview: 3.1 Exponential Functions and Their Graphs 3.2 Logarithmic Functions and Their Graphs 3.3 Properties of Logarithms 3.4 Solving Exponential and
More informationDISCUSS DISCOVER PROVE WRITE. (a) log a x y b log x log y (b) log 2 1x y2 log 2 x log 2 y. (c) log 5 a a b 2 b log 5 a 2 log 5 b
360 CHAPTER 4 Exponential and Logarithmic Functions 74. Biodiversity Some biologists model the number of species S in a fixed area A (such as an island) by the species-area relationship log S log c k log
More informationINTERNET MAT 117. Solution for the Review Problems. (1) Let us consider the circle with equation. x 2 + 2x + y 2 + 3y = 3 4. (x + 1) 2 + (y + 3 2
INTERNET MAT 117 Solution for the Review Problems (1) Let us consider the circle with equation x 2 + y 2 + 2x + 3y + 3 4 = 0. (a) Find the standard form of the equation of the circle given above. (i) Group
More information4.6 (Part A) Exponential and Logarithmic Equations
4.6 (Part A) Eponential and Logarithmic Equations In this section you will learn to: solve eponential equations using like ases solve eponential equations using logarithms solve logarithmic equations using
More informationDIFFERENTIATION RULES
3 DIFFERENTIATION RULES DIFFERENTIATION RULES 3.8 Exponential Growth and Decay In this section, we will: Use differentiation to solve real-life problems involving exponentially growing quantities. EXPONENTIAL
More informationWrite each expression as a sum or difference of logarithms. All variables are positive. 4) log ( ) 843 6) Solve for x: 8 2x+3 = 467
Write each expression as a single logarithm: 10 Name Period 1) 2 log 6 - ½ log 9 + log 5 2) 4 ln 2 - ¾ ln 16 Write each expression as a sum or difference of logarithms. All variables are positive. 3) ln
More informationSkill 6 Exponential and Logarithmic Functions
Skill 6 Exponential and Logarithmic Functions Skill 6a: Graphs of Exponential Functions Skill 6b: Solving Exponential Equations (not requiring logarithms) Skill 6c: Definition of Logarithms Skill 6d: Graphs
More informationMath 52, Fall 2014 Final Exam
Math 52, Fall 2014 Final Exam Instructor s name: 1. Time limit: 1 hour 50 minutes. Directions 2. There are 100 points possible for this exam. The point value for each problem is shown, either for each
More informationExponential Growth and Decay Functions (Exponent of t) Read 6.1 Examples 1-3
CC Algebra II HW #42 Name Period Row Date Section 6.1 1. Vocabulary In the eponential growth model Eponential Growth and Decay Functions (Eponent of t) Read 6.1 Eamples 1-3 y = 2.4(1.5), identify the initial
More information