Notes Over 8.2 Recognizing Exponential Growth and Decay Exponential Growth Model Exponential Decay Model.

Slides:

Advertisements

Similar presentations

Notes Over 8.1 Graphing Exponential Functions Graph the function. xy.

Advertisements

EXAMPLE 3 Graph natural base functions Graph the function. State the domain and range. a.y = 3e 0.25x SOLUTION Because a = 3 is positive and r = 0.25 is.

State the domain and range of each function. 3.1 Graphs of Exponential Functions.

Exponential Functions

Do Now: Pass out calculators. Pick a scientific notation matching activity sheet from the back. Match the objects in Card Set B with the corresponding.

Intercepts, Exponentials, and Asymptotes Section 3.4 Standard: MCC9-12.F.IF.7a&e Essential Question: How do you graph and analyze exponential functions.

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.

8.1 Exponential Growth Goal: Graph exponential growth functions.

8.2 Exponential Decay P Exponential Decay Has the same form as growth functions f(x) = ab x Where a > 0 BUT: 0 < b < 1 (a fraction between 0 & 1)

3.2 Graph Exponential Decay Functions P. 236 What is exponential decay? How can you recognize exponential growth and decay from the equation? What is the.

Exponential Growth and Decay Functions. What is an exponential function? An exponential function has the form: y = ab x Where a is NOT equal to 0 and.

How does one Graph an Exponential Equation?

Warm up Write the explicit formula , 15, -75, 375, … 2. 1, 6, 36, 216, … 3. 16, 6, -4, -14, … 4. 13, 11, 9, 7, …

Exponential Growth Exponential Decay Graph the exponential function given by Example Graph the exponential function given by Solution x y, or f(x)

How do I graph and use exponential growth and decay functions?

8-1 Exploring Exponent Models Objectives:  To identify exponential growth and decay.  To define the asymptote  To graph exponential functions  To find.

EXAMPLE 2 Graph an exponential function Graph the function y = 2 x. Identify its domain and range. SOLUTION STEP 1 Make a table by choosing a few values.

Chapter 1.3 Exponential Functions. Exponential function F(x) = a x The domain of f(x) = a x is (-∞, ∞) The range of f(x) = a x is (0, ∞)

Essential Question: How do you find a growth factor and a decay factor?

Exponential Functions

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

Evaluate each expression for the given value of x.

Graphing Exponentials and Logs

1 Factoring Practice (5 questions). 2 Factoring Practice (Answers)

8.1-2 – Exponential Functions. Ex. 1 Sketch the graph of y = 2 x. Then state the functions domain & range.

(7.1 & 7.2) NOTES- Exponential Growth and Decay. Definition: Consider the exponential function: if 0 < a < 1: exponential decay if a > 1: exponential.

7.1 Exponential Models Honors Algebra II. Exponential Growth: Graph.

State the domain and range of each function Exponential Growth and Decay.

Exponential Functions What You Will Learn How to graph exponential functions And how to solve exponential equations and inequalities.

8-2: Exponential Decay Objective Ca Standard 12: Students know the laws of fractional exponents, understand exponential functions and use these functions.

Objective Video Example by Mrs. G Give It a Try Lesson 8.1  Sketch a graph of an exponential growth or decay function.  Use transformations to graph.

Exponential GrowthExponential Decay (0,a) Exponential Parent Fcn: Growth: b > 1 Decay: 0 < b < 1 H.Asymptote: y = 0 y-int is a_(1 on parent fcn) Shifts:

Graphing Exponential Decay Functions In this lesson you will study exponential decay functions, which have the form ƒ(x) = a b x where a > 0 and 0 < b.

Intro to Graphing Exponentials Mon Oct 22 nd / Tue Oct 23 rd.

Notes Over 5.1 Graphing Exponential Functions Graph both functions on the same graph. xy xy A larger base makes it increase faster.

Notes Over 5.2 Rewriting Logarithmic Equations and Rewrite the equation in exponential form. are equivalent. Evaluate each logarithm.

Exponential Functions Standard: A.CED.1. Essential Questions: How do I make a table of values for an exponential function? How do I graph an exponential.

Domain & Range Domain & Range Algebra 1 By: A. C. Rivera.

Holt McDougal Algebra 2 Exponential Functions, Growth, and Decay Exponential Functions, Growth and Decay Holt Algebra 2Holt McDougal Algebra 2 How do.

EXPONENTIAL FUNCTIONS Section TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions.

Exponential Functions Exponential Growth Exponential Decay y x.

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.

Ch. 4.4 to 4.5. “a” changes the steepness of the growth or decay If (-a) graph is flipped “b” is the base it determines if it is an EXPONENTIAL GROWTH.

8.5 and 8.6 Writing and Graphing Exponential Growth and Decay Functions Students will learn to Write exponential growth and decay functions Graph exponential.

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.

Exponential Functions,

Exponential Growth Exponential Decay Example 1 Graph the exponential function given by Solution xy or f(x) 0 1 –1 2 – /3 9 1/9 27.

How do I graph and use exponential growth and decay functions?

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.

7-1 Exponential Functions

Math – Exponential Functions

Section Vocabulary: Exponential function- In general, an equation of the form, where, b>0, and, is known as an exponential function. Exponential.

Notes Over 9.2 Graphing a Rational Function The graph of a has the following characteristics. Horizontal asymptotes: center: Then plot 2 points to the.

8-3: The Number ‘e’ (Day 1) Objective (Ca. Standard 12): Students know the laws of fractional exponents, understand exponential function, and use these.

Graphs of Exponential Functions. Exponential Function Where base (b), b > 0, b  1, and x is any real number.

Objectives: The student will be able to… 1)Graph exponential functions. 2)Solve exponential equations and inequalities.

8.1 & 8.2 Exponential Growth and Decay 4/16/2012.

Direct and inverse variation

How does one Graph an Exponential Equation?

The Natural Base, e Essential Questions

Notes Over 2.1 Function {- 3, - 1, 1, 2 } { 0, 2, 5 }

Wednesday, January 13 Essential Questions

Using Functions Involving e

Warm up Evaluate the expression without using a calculator. 1. 5–2 1

Exponential Functions

Graphing Exponential Functions

6.9 Graphing Exponential Equations

Notes Over 8.3 Simplifying Natural Base Expressions

7.4 Graphing Exponential Equations

Domain & Range Algebra 1, Unit 3, Lesson 3.

Presentation transcript:

Notes Over 8.2 Recognizing Exponential Growth and Decay Exponential Growth Model Exponential Decay Model

Notes Over 8.2 Recognizing Exponential Growth and Decay State whether the function represents exponential growth or exponential decay. exponential growth exponential decay

Notes Over 8.2 Recognizing Exponential Growth and Decay State whether the function represents exponential growth or exponential decay. exponential growth

Notes Over 8.2 Recognizing Exponential Growth and Decay State whether the function represents exponential growth or exponential decay. exponential decay

Notes Over 8.2 Graphing Exponential Functions Graph the function. xy

Graphing Exponential Functions Graph the function. xy

Notes Over 8.2 Graphing Exponential Functions Graph the function. xy

Notes Over 8.2 Graphing Exponential Functions Graph the function. xy

Notes Over 8.2 Graphing a General Exponential Functions Graph the function. State the domain and range. Move curve 3 units to the left. Domain: All real numbers Range:

Graphing a General Exponential Functions Graph the function. State the domain and range. Move curve 4 units to the right. Domain: All real numbers Range:

Notes Over 8.2 Graphing a General Exponential Functions Graph the function. State the domain and range. Move curve up 2 units. Domain: All real numbers Range:

Notes Over 8.2 Graphing a General Exponential Functions Graph the function. State the domain and range. Move curve 4 units to the left Domain: All real numbers Range: and down 3 units.

Notes Over 8.2