Wednesday, January 13 Essential Questions

Slides:



Advertisements
Similar presentations
Graphs of Exponential and Logarithmic Functions
Advertisements

Logarithmic Functions Section 3.2. Objectives Rewrite an exponential equation in logarithmic form. Rewrite a logarithmic equation in exponential form.
1) log416 = 2 is the logarithmic form of 4░ = 16
Section 6.3 – Exponential Functions Laws of Exponents If s, t, a, and b are real numbers where a > 0 and b > 0, then: Definition: “a” is a positive real.
Notes Over 8.4 Rewriting Logarithmic Equations Rewrite the equation in exponential form.
8.1-2 – Exponential Functions. Ex. 1 Sketch the graph of y = 2 x. Then state the functions domain & range.
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 9-1 Exponential and Logarithmic Functions Chapter 9.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Section 9.3 Logarithmic Functions  Graphs of Logarithmic Functions Log 2 x  Equivalent Equations  Solving Certain Logarithmic Equations 9.31.
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 9-1 Exponential and Logarithmic Functions Chapter 9.
Logarithms 2.5 Chapter 2 Exponents and Logarithms 2.5.1
PRE-AP PRE-CALCULUS CHAPTER 3, SECTION 3 LOGARITHMIC FUNCTIONS AND THEIR GRAPHS
Notes Over 5.2 Rewriting Logarithmic Equations and Rewrite the equation in exponential form. are equivalent. Evaluate each logarithm.
Notes Over 8.2 Recognizing Exponential Growth and Decay Exponential Growth Model Exponential Decay Model.
Graphing Log Functions Pre-Calculus. Graphing Logarithms Objectives:  Make connections between log functions and exponential functions  Construct a.
Solving Logarithmic Equations
12.8 Exponential and Logarithmic Equations and Problem Solving Math, Statistics & Physics 1.
Math 71B 9.3 – Logarithmic Functions 1. One-to-one functions have inverses. Let’s define the inverse of the exponential function. 2.
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 9-1 Exponential and Logarithmic Functions Chapter 9.
Find the inverse of each logarithm or exponential. Show work REVIEW Examples Finding Inverses of Logarithms and Exponentials.
CHAPTER 10 LESSON OBJECTIVES. Objectives 10.1 Students will be able to: Identify quadratic functions and determine whether they have a minimum or maximum.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Slide the Eraser Exponential and 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.
Sullivan Algebra and Trigonometry: Section 6.4 Logarithmic Functions
10.2 Logarithms & Logarithmic Functions
Chapter 5: Inverse, Exponential, and Logarithmic Functions
Interpreting Exponential Functions
Exponential Functions
Logarithmic Functions and Their Graphs
Sullivan Algebra and Trigonometry: Section 6.3
Chapter 1 Functions.
College Algebra Chapter 4 Exponential and Logarithmic Functions
Chapter 1 Functions.
How does one Graph an Exponential Equation?
Evaluate Logarithms and Graph Logarithmic Functions
Chapter 5: Inverse, Exponential, and Logarithmic Functions
Inverse, Exponential and Logarithmic Functions
The Natural Base, e Essential Questions
Logarithmic Functions and Their Graphs
CHAPTER 5: Exponential and Logarithmic Functions
Exponential Functions
A function is given by a formula. Determine whether it is one-to-one
Using Functions Involving e
Warm up Evaluate the expression without using a calculator. 1. 5–2 1
6.3 Logarithmic Functions
Algebra Exponential Functions
Graphing Exponential Functions
4.4 Logarithmic Functions
The behaviour of as x→∞ is called which of the following?
Section 5.2 – Logarithmic Functions
Exponential Functions
Exponential Functions
THE LOGARITHMIC FUNCTION
Inverse, Exponential and Logarithmic Functions
Exponential and Logarithmic Functions
Inverse, Exponential and Logarithmic Functions
Exponential and Logarithmic Forms
6.9 Graphing Exponential Equations
6.3 Logarithms and Logarithmic Functions
College Algebra Chapter 4 Exponential and Logarithmic Functions
4.3 Logarithmic Functions
RELATIONS & FUNCTIONS CHAPTER 4.
4.3 Logarithmic Functions
7.4 Graphing Exponential Equations
Welcome: The graph of f(x) = |x – 3| – 6 is given below
Review: How do you find the inverse of a function? Application of what you know… What is the inverse of f(x) = 3x? y = 3x x = 3y y = log3x f-1(x) = log3x.
CHAPTER 5: Exponential and Logarithmic Functions
Chapter 5: Exponential and Logarithmic Functions
Chapter 4 Review What quadrant is point (-3, 2) in?
Presentation transcript:

Wednesday, January 13 Essential Questions How do we solve and graph exponential and logarithmic functions?

Chapter 8 Review

State whether the graph is above or below the x-axis and whether it is exponential growth or exponential decay.

Graph the function. Identify the domain and range.

Graph the function. Identify the domain and range.

Graph the function. Identify the domain and range.

Graph the function. Identify the domain and range.

Graph the relation and connect the points. Then graph the inverse Graph the relation and connect the points. Then graph the inverse. Identify the domain and range of each relation and its inverse.

Graph each function. Then write and graph the inverse.

Write each exponential equation in logarithmic form.

Write each logarithmic equation in exponential form.