MGSE9-12.A.SSE.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

Slides:

Advertisements

Similar presentations

Unit 9. Unit 9: Exponential and Logarithmic Functions and Applications.

Advertisements

Algebra 2 Unit 2 Review Exponential and Logarithmic Functions.

Logarithmic Functions Section 3.2. Objectives Rewrite an exponential equation in logarithmic form. Rewrite a logarithmic equation in exponential form.

Introduction Exponential functions are ideal for modeling growth and decay phenomena. Equations derived from given information, such as observations, can.

Copyright © 2009 Pearson Education, Inc. CHAPTER 5: Exponential and Logarithmic Functions 5.1 Inverse Functions 5.2 Exponential Functions and Graphs 5.3.

Properties of Logarithms

EXAMPLE 4 Classify and write rules for functions SOLUTION The graph represents exponential growth (y = ab x where b > 1). The y- intercept is 10, so a.

Objectives Write equivalent forms for exponential and logarithmic functions. Write, evaluate, and graph logarithmic functions.

MATH – High School Common Core Vs Kansas Standards.

Logarithmic Functions

8 – 6 Solving Exponential and Logarithmic Equations Day2 Objective: CA. 11.1: Students understand the inverse relationship between exponents and logarithms.

Section 3.3a!!!. First, remind me… What does the horizontal line test tell us??? More specifically, what does it tell us about the function This function.

Section 4.1 Logarithms and their Properties. Suppose you have $100 in an account paying 5% compounded annually. –Create an equation for the balance B.

Properties of Logarithms Section 6.5 Beginning on page 327.

Algebra II w/trig. A logarithm is another way to write an exponential. A log is the inverse of an exponential. Definition of Log function: The logarithmic.

Academy Algebra II/Trig 6.6: Solve Exponential and Logarithmic Equations Unit 8 Test ( ): Friday 3/22.

ALGEBRA 2; AGENDA; DAY 93; TUE. JAN. 20, 2015 (3 rd 9-Weeks) ›BEGINNING OF 3 rd 9 WEEK; SEE BELL RINGER › OBJECTIVE: SWBAT: MAFS.912.N-RN.1.2: Rewrite.

Unit 5: Modeling with Exponential & Logarithmic Functions Ms. C. Taylor.

Pgs For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities,

Notes Over 8.4 Rewriting Logarithmic Equations Rewrite the equation in exponential form.

Section 3.2 Logarithmic Functions. The Logarithmic Function.

Section 11-4 Logarithmic Functions. Vocabulary Logarithm – y is called this in the function Logarithmic Function – The inverse of the exponential function.

Copyright © 2009 Pearson Education, Inc. CHAPTER 5: Exponential and Logarithmic Functions 5.1 Inverse Functions 5.2 Exponential Functions and Graphs 5.3.

Do Now (7.4 Practice): Graph. Determine domain and range.

Algebra II w/ trig. Exponential Functions – has the form y= ab x, where a ≠0, b>0, and b≠1 - y represents the quantity after time is expired - a represents.

Section 9.3 Logarithmic Functions  Graphs of Logarithmic Functions Log 2 x  Equivalent Equations  Solving Certain Logarithmic Equations 9.31.

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.

Unit 7 An Introduction to Exponential Functions 5 weeks or 25 days

10.2 Logarithms and Logarithmic Functions Objectives: 1.Evaluate logarithmic expressions. 2.Solve logarithmic equations and inequalities.

Logarithms 1 Converting from Logarithmic Form to Exponential Form and Back 2 Solving Logarithmic Equations & Inequalities 3 Practice Problems.

Section 4.4 Logarithmic Functions. Definition:Definition: 2) A logarithm is merely a name for a certain exponent! 2) A logarithm is merely a name for.

7.4 Logarithmic Functions Write equivalent forms for exponential and logarithmic equations. Use the definitions of exponential and logarithmic functions.

Exponential and Logarithmic Functions Logarithms Exponential and Logarithmic Functions Objectives Switch between exponential and logarithmic form.

Logarithmic Functions PRE-CALCULUS UNIT 3: EXPONENTIAL AND LOGARITHMIC FUNCTIONS.

Growth and Decay: Integral Exponents

Logarithmic Functions

1.Quiz 2.Notes Unit 10 Lesson 3c 3.Assignment Check Algebra 2 Quiz Today.

Solving Logarithmic Equations

Section 5.5 Solving Exponential and Logarithmic Equations Copyright ©2013, 2009, 2006, 2001 Pearson Education, Inc.

TEST TOMORROW 3/1/ NON-CALCULATOR MULTIPLE CHOICE 15-FREE RESPONSE QUESTIONS Unit 2 review.

GRAPHING EXPONENTIAL FUNCTIONS f(x) = 2 x 2 > 1 exponential growth 2 24–2 4 6 –4 y x Notice the asymptote: y = 0 Domain: All real, Range: y > 0.

Students will be able to: Use multiplication properties of exponents to evaluate and simplify expressions. Objective 8.1.

MATH III – Exponential and Logarithmic Functions Exponential Growth and Decay.

Lesson 20 – Introducing and Applying Base e. Pre-Calculus 2/22/20161Pre-Calculus.

Exponents – Logarithms xy -31/8 -2¼ ½ xy 1/8-3 ¼-2 ½ The function on the right is the inverse of the function on the left.

Algebra 2 Notes May 4,  Graph the following equation:  What equation is that log function an inverse of? ◦ Step 1: Use a table to graph the exponential.

Logarithmic Properties Exponential Function y = b x Logarithmic Function x = b y y = log b x Exponential Form Logarithmic Form.

INVERSE Logarithmic and Exponential Graphs and Graphing.

Goals:  Understand logarithms as the inverse of exponents  Convert between exponential and logarithmic forms  Evaluate logarithmic functions.

Algebra The Natural Base, e. Review Vocabulary Exponential Function–A function of the general form f(x) = ab x Growth Factor – b in the exponential.

Logarithmic Functions

A-SSE.A.1b Interpret expressions that represent a quantity in terms of its context. Interpret complicated expressions by viewing one or more of their.

Properties of Logarithm

CHAPTER 5: Exponential and Logarithmic Functions

10.2 Logarithms & Logarithmic Functions

Logarithmic Functions

ALGEBRA 2; AGENDA; DAY 133; MON. MAR. 27, 2017 (4th 9-Weeks)

Ch. 8.5 Exponential and Logarithmic Equations

Logarithmic Functions and Their Graphs

5.3 Logarithmic Functions & Graphs

5.4 Logarithmic Functions and Models

Solving Exponential and Logarithmic Equations

6.3 Logarithmic Functions

Warmup Solve 256

Algebra 2 Warmup.

4.3 Logarithmic Functions

EXPONENTIAL FUNCTION where (base) b > 0 and b For 0 < b < 1,

Logarithmic Functions

Presentation transcript:

MGSE9-12.A.SSE.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. (Limit to exponential and logarithmic functions.)

MGSE9-12.A.SSE.3c Use the properties of exponents to transform expressions for exponential functions. For example, the expression 1.15 t, where t is in years, can be rewritten as [1.15 (1/12) ] (12t) ≈ (12t) to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.

MGSE9-12.F.IF.7 Graph functions expressed algebraically and show key features of the graph both by hand and by using technology. (Limit to exponential and logarithmic functions.)

MGSE9-12.F.IF.7e Graph exponential and logarithmic functions, showing intercepts and end behavior,

MGSE9-12.F.IF.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. (Limit to exponential and logarithmic functions.)

MGSE9-12.F.IF.8b Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02) t, y = (0.97) t, y = (1.01) (12t), y = (1.2) (t/10), and classify them as representing exponential growth and decay. (Limit to exponential and logarithmic functions.)

MGSE9-12.F.BF.5 Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

MGSE9-12.F.LE.4 For exponential models, express as a logarithm the solution to ab (ct) = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.