4.5 Interpret Graphs of Exponential and Logarithmic Functions

Slides:



Advertisements
Similar presentations
Find the solutions. Find the Vertex and Max (-1, 0) (5, 0) (2, 10)
Advertisements

Domain and Range Increasing and Decreasing x- and y-intercepts
1.6 Graph Using Slope-Intercept Form E.Q. How do I graph using slope intercept form?
Bellwork  Rewrite in slope intercept form:  4x + 2y = 8  3x = 4 – 2y.
Graphs of Exponential and Logarithmic Functions
WARM - UP. SOLVING EXPONENTIAL & LOGARITHMIC FUNCTIONS SECTION 3.4.
3.9: Derivatives of Exponential and Log Functions Objective: To find and apply the derivatives of exponential and logarithmic functions.
Graphing Lines Test Review By Mrs. Anderson. Graph the following using slope and y-intercept Y=2x + 3 Y=3/4x – 7 Y=3/2x + 5 Y=4x.
6.6 – Solving Exponential Equations Using Common Logarithms. Objective: TSW solve exponential equations and use the change of base formula.
CONVERTING FROM ONE FORM TO ANOTHER EVALUATING PROPERTIES OF LOGS – EXPANDING AND CONDENSING Day 1:
Motion in One Dimension. Velocity can be interpreted graphically The velocity of an object can be determined if the object’s position is known at specific.
Turn in your Quiz!!! Complete the following:. Section 11-5: Common Logarithms The questions are… What is a common log? How do I evaluate common logs?
Find the x and y-intercepts from the graph. Find the intercepts and state domain and range.
Warm – up #5. Homework Log Thurs 11/5 Lesson 3 – 3 Learning Objective: To find composite functions Hw: #306 Pg. 186 #46 – 64 even, Pg.192 #1 – 7 odd.
3.4 Properties of Logarithmic Functions
Domain/Range/ Function Worksheet Warm Up Functions.
Applications of Common Logarithms Objective: Define and use common logs to solve exponential and logarithmic equations; use the change of base formula.
§2.4 Write Equations of Lines CA Standard: Algebra 1: 7.0 Students verify that a point lies on a line, given an equation of the line. Students are able.
Chapter 1.3 Acceleration. Types of Acceleration  Acceleration is a vector quantity  Positive Acceleration  1. when change in magnitude and direction.
SLO Review Cornwell Algebra 2. Interpreting Graphs Intercepts: Degree: Intervals of Increase: Intervals of Decrease: End Behavior: Zeros: Asymptotes:
Warm Up Evaluate the following. 1. f(x) = 2 x when x = f(x) = log x when x = f(x) = 3.78 x when x = f(x) = ln x when x =
Warm Up part 2 I can apply properties of logarithms.
Day 9 Geometry.
Warm up Write the equation in vertex form of the quadratic equation that has been: 1. shifted right 7 and down reflected across the x-axis and shifted.
Slope Intercept Form Algebra
5.4 Writing Equations in Point-Slope Form
Warm-Up:.
Review Preview What is the degree of the following Polynomials?
Using Slope Intercept Form to Graph
Warm up.
Derivatives of Exponential and Logarithmic Functions
3.9: Derivatives of Exponential and Logarithmic Functions.
Linear Models and Rates of Change
5-4 Point Slope Form.
Logarithmic Functions and Their Graphs
SLOPE = = = The SLOPE of a line is There are four types of slopes
Domain is all real numbers.
Warm-Up Find the value of x: 3x – 5 = 9 – 4x.
Properties of Logarithmic Functions
Key Concept 1.
Natural Logarithms - Integration
Natural Logarithms - Differentiation
Warm Up – August 16, 2017 Find the slope of the line through each pair of points. (0, 2) and (3, 4) (-2, 8) and (4, 2) (3, 3) and (12, -15) Write the following.
“Why so serious?”.
Types of Functions and Their Rates of Change
5.6 – point slope formula Textbook pg. 315 Objective:
Skill Check after HW Check
Homework Analyzing Graphs
Write the equation for the following slope and y-intercept:
Graph 2x + 4y = 16 by finding the x and y intercepts.
4.3 Exponential Functions
2-4: Writing Linear Equations Using Slope Intercept Form
Thursday 3/22/2018: Today: Characteristic of Exponential Functions/Rate of Change Tomorrow: Quiz on Day Evaluate Exponential Function - Graph Exponential.
Write and graph lines in point-slope form and standard form
7.5 Slope Pg. 497.
4.3 Exponential Functions
“Why so serious?”.
Warm Up Graph f(x) = 3x – 2 using a table
Characteristics.
Silent Do Now (5 minutes) *Before you begin, take out your homework!
3.3 Interpret Rates of Change of Quadratic Functions p. 69
3.2 Graphing Exponential Functions
 .
Characteristics.
Homework Lesson 4.03_ pg 287_ #8-11.
6.3 Logarithmic Functions
Objectives: To graph lines using the slope-intercept equation
Warm Up  .
Warm-Up:.
Warm-Up: For the graph, name the following characteristics.
Presentation transcript:

4.5 Interpret Graphs of Exponential and Logarithmic Functions Pg. 149

Warm up What are all the terms associated with zeros of a function? How do you find the intercepts, x and y?

Graphs Exponentials/Logarithmic functions are either increasing or decreasing Average Rate of change Slope Find 2 points and use the slope formula m = (y2-y1)/(x2-x1)

y = 2x - 4 Graph (Make sure you have 3-4 real points) List Domain/Range List Zeros List intercepts Intervals Increasing/ Dec. End Behavior Avg. rate of change from A to B A B

y = log2 x Graph (Make sure you have 3-4 real points) List Domain/Range List Zeros List intercepts Intervals Increasing/ Dec. End Behavior Avg. rate of change from A to B A B

Homework Pg. 153, 2 – 10 Even P. 154 2 – 10 Even