Lesson 3.5 Exponential & Logarithmic Models Homework Deal – Pick one of the following options: 1)Do 30 or so problems a night for the remaining 120 days.

Slides:



Advertisements
Similar presentations
Exponential Growth & Decay Section 4.5 JMerrill, 2005 Revised 2008.
Advertisements

Unit 9. Unit 9: Exponential and Logarithmic Functions and Applications.
8-6 Compound Interest and Exponential Growth
Exponential and Logarithmic Functions
Copyright © 2011 Pearson, Inc. 3.2 Exponential and Logistic Modeling.
3.5 Exponential and Logarithmic Models Gaussian Model Logistic Growth model Exponential Growth and Decay.
Tuesday January 31 Algebra II Strauss. Agenda 1.Homework check and review 2.Finish discussion of compounded interest 3.Define asymptotes 4.Lesson 7.2.
Logs and Exp as inverses
Exponential Functions Intro. to Logarithms Properties.
Chapter 3 Linear and Exponential Changes 3
Copyright © Cengage Learning. All rights reserved. 3 Exponential and Logarithmic Functions.
Logarithmic Applications Applications Best Suited to Logarithms.
 Growth: interest, births  Decay: isotopes, drug levels, temperature  Scales: Richter, pH, decibel levels Exponential and Logarithm Functions Functions.
3 Exponential and Logarithmic Functions
Homework
Date: Lesson 8.1. I can graph exponential growth functions; graph exponential decay functions. Common Core: CC.9-12.F.IF.7e CRS: FUN 501.
CH. 8.6 Natural Logarithms. Write 2 ln 12 – ln 9 as a single natural logarithm. 2 ln 12 – ln 9 = ln 12 2 – ln 9Power Property = lnQuotient Property 12.
Lesson 3.8 Solving Problems Involving Exponential Functions
3.5 Exponential and Logarithmic Models -Students will use exponential growth and decay functions to model and solve real-life problems. -Use Gaussian functions.
Section 3.5 Exponential and Logarithmic Models. Important Vocabulary Bell-shaped curve The graph of a Gaussian model. Logistic curve A model for describing.
Copyright © Cengage Learning. All rights reserved. 3 Exponential and Logarithmic Functions.
Homework Lesson Handout #5-27 (ODD) Exam ( ): 12/4.
Chapter 3 Exponential and Logarithmic Functions
Solve each equation for x. 1. 3x – 12 = 45 x = x = 39.2 Algebra 3 Warm-Up 5.3.
TODAY IN ALGEBRA 2.0…  REVIEW: 7.5 Expand and Condense LOGs  COMPLETE: HW #6  Learning Target: 7.6 You will solve exponential equations by changing.
6. 3 Logarithmic Functions Objectives: Write equivalent forms for exponential and logarithmic equations. Use the definitions of exponential and logarithmic.
Application of Logarithmic Functions to Science MHF4UI Monday October 2 nd, 2012.
Exponential and Logistic Functions. Quick Review.
Lesson 12-2 Exponential & Logarithmic Functions
Logs Midterm Review Pre-Calculus. Topic 1: Be able to change logarithmic and exponential forms.
Lesson 10.4Common Logarithms Common Logarithm:base 10 logarithms (without subscript 10) Example 1Finding Common Logs & Change of Base A) B)C)
Algebra II Honors January 5 th Students will complete daily warm-up problems. Students will be able to model exponential growth and decay. Students will.
Log Introduction  Video  **** find*****. 8.3 Lesson Logarithmic Functions.
TODAY IN ALGEBRA 2.0…  STATs to Quiz  REVIEW: Solutions to Quiz  Learning Target: 7.5 You will use properties of logarithms to rewrite.
Exponential and Logarithmic Functions.
Logarithmic Functions PRE-CALCULUS UNIT 3: EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Notes Over 8.2 Recognizing Exponential Growth and Decay Exponential Growth Model Exponential Decay Model.
Section 3.5 Modeling with Exponential Logarithmic Functions.
Objective: Use exponential and logarithmic models to solve real life problems. 3.5 Exponential & Logarithmic Models 2014.
Section 3.5 Exponential and Logarithmic Models. Compound Interest The compound interest formula: A is the amount in the account after t years. P is the.
MAT 125 – Applied Calculus Exponential Functions as Mathematical Models.
By : Daniel Carter.  A logarithm is a number to a given base is the power or exponent to which the base must be raised in order to produce that number.
TODAY IN ALGEBRA 2.0…  REVIEW: Solving Exponential Equations  Learning Target 1: 7.6 You will solve exponential equations by using logarithms  Independent.
Graphing Exponential Growth and Decay. An exponential function has the form b is a positive number other than 1. If b is greater than 1 Is called an exponential.
Determine the value of the unknown. 5 min. WHAT DO EXPONENTIAL FUNCTIONS LOOK LIKE? Sec
Table of Contents Exponential Function - Graphing Example Sketch the graph of the exponential function... Find a few ordered pairs... f(-2) = 3 -2 = 1/9.
12.8 Exponential and Logarithmic Equations and Problem Solving Math, Statistics & Physics 1.
MATH III – Exponential and Logarithmic Functions Exponential Growth and Decay.
Constructing Nonlinear Models Lesson 5.7. Modeling Data When data are recorded from observing an experiment or phenomenon May increase/decrease at a constant.
TODAY IN ALGEBRA 2.0…  REVIEW: HW #3 Exponential Growth and Decay  Learning Target 1: 7.4 You will evaluate logarithms.  Independent Practice.
Section 3-11 Bell Quiz Ch 3a 10 pts possible 2 pts.
8.1 & 8.2 Exponential Functions 3/10/2014. In this lesson we will learn … What an exponential function is. Difference between exponential growth and decay.
TODAY IN ALGEBRA 2.0…  WARM UP: Basics of Logs  Learning Target 1: 7.4 You will evaluate inverses of logarithms  Independent Practice  AT: Ch.6 Retakes.
Logarithmic Functions Algebra 2 Unit 2: Exponential and Logarithmic Functions.
INVERSE Logarithmic and Exponential Graphs and Graphing.
Bellwork 1) 2) 3) 4). Lesson 7.1 Graph Exponential Growth Functions.
NATURAL LOGARITHMS LESSON 10 – 3 MATH III. THE NUMBER E e is a mathematical constant found throughout math and science. Bell curve distributions Self-supporting.
Objectives: To further understand the natural exponential e and natural logarithms. To solve equations involving e and ln. To know that e x and lnx are.
Algebra Exponential and Logarithmic Equations and Inequalities.
Exponential and Logarithmic Functions
Chapter 1 Functions.
Constructing Nonlinear Models
Lesson 11: Exponential Functions
Write each in exponential form.
Lesson 11: Exponential Functions
Exponential and Logarithmic Functions
Exponential and Logarithmic Forms
bell ringer How do you “convert”?
Bell work Week 35 Pick a science word and write the definition.
Presentation transcript:

Lesson 3.5 Exponential & Logarithmic Models

Homework Deal – Pick one of the following options: 1)Do 30 or so problems a night for the remaining 120 days of school 2)Do 1 problem this week, 2 the next week, 4 the following, 8 the next,…and so on for the remaining 26 weeks.

Exponential Growth Model: Exponential Decay Model: Used often in naturally occurring increases/decre ases such as living organisms.

Gaussian Model: Logistic Model: Called the “bell curve” where most values occur at some number. Can be used to model sales growth.

Logarithmic Model: Used in models with factors of values, like Richter scale.

Example 1

Example 2 Problem Set 3.5