exponential growth and decay functions. what is an exponential function? an exponential function has...

Exponential Exponential Growth and Growth and Decay Decay Functions Functions

Upload: loren-sullivan

Post on 24-Dec-2015

221 views

Category:

Documents

0 download

Report

Download

Embed Size (px):

TRANSCRIPT

Page 1: 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

Exponential Growth Exponential Growth and and

Decay Decay FunctionsFunctions

What is an exponential function?What is an exponential function?

An exponential function has the form:

y = abx

Where a is NOT equal to 0 and

The base b is a positive number other than 1

Exponential Growth

a > 0

And

b > 1

b is called the growth factor

Exponential Decay

a > 0

And

0< b < 1

b is called the decay factor

y = abx

Graphing Exponential FunctionsGraphing Exponential FunctionsExample

Is this a growth or decay function???

Page 5: 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

Page 6: 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

Graphing Exponential FunctionsGraphing Exponential Functions

You TryIs this a growth or decay

function???

Page 9: 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

Translating FunctionsTranslating Functions

y = abx-h+k

Stretch / Shrink

NEGATIVE a =

reflection!!BASE

Will determine if growth or decay

HORIZONTAL SHIFT

(opposite direction)

VERTICAL SHIFT

Page 10: 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

Translating FunctionsTranslating Functions

Always graph y=abx first, then

translate the function!!

Page 11: 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

Domain/RangeDomain/Range

The DOMAIN is all real numbers

The RANGE is determined by the VERTICAL shift of the

graph!! Find the asymptote!!

Page 12: 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

Page 13: 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

Page 14: 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

HomeworkHomework

pg. 122: 1 – 9 all

AND

pg. 126: 1 – 9 all

1.2. Lesson 8.2-Properties of Exponential Functions Graph: 3.4. ANSWERS Determine if the function represents exponential growth or decay:

Exponential, Logistic, and Logarithmic Functions · In Example 3,g is an exponential growth function, and h is an exponential decay function. As x increases by 1, g x 4 3x grows by

6.6 Exponential Decay · Section 6.6 Exponential Decay 303 EXAMPLE 2 Interpreting an Exponential Decay Function The function P = 4870(0.94)t represents the population P of a town

7.7 EXPONENTIAL GROWTH AND DECAY:

6.4 Exponential Growth and Decay

7_7 Exponential Growth - Decay

CHAPTER Exponential and Logarithmic Functions 4 x ... · The base of the exponential function is between b. 0 and 1, so the function shows decay. An exponential decay function decreases

22. Exponential Growth and Decay

Holt Algebra 1 11-3 Exponential Growth and Decay Solve problems involving exponential growth and decay. Objective exponential growth and decay compound

6-1 Ex onential Growth and Deca Functions Al ebra 2 ...€¦ · Then graph the function. LOSS Exponential Models: Exponential Growth Model: Exponential Decay Model: amamhrana-žninc

y increases t years. How many people will attend the ......Determine whether the table represents an exponential growth function, an exponential decay function, or neither. Explain

· For each function. state whether it is exponential growth or decay ... Write an exponential decay model for ... in exponential form. 7. logs Evaluate the

Exponential Decay Class Notes

Exponential Growth and Decay Objective: Determine the multiplier for exponential growth and decay

Exponential and Logarithmic Functions. Exponential Functions Vocabulary – Exponential Function – Base (Common Ratio) – Growth (Appreciation) – Decay (Depreciation)

EXPONENTIAL DECAY - Wikispacessystems2010.wikispaces.com/file/view/LV05.pdf · EXPONENTIAL DECAY Rule for the half-life: decay rate ... Rigor mathematical foundation ... MECHANISM

6.1 Exponential Growth and Decay

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

Spontaneous and Exponential Decay

Exponential Growth and Decay

Section 3.5 Exponential Growth and Decay; Modeling …fl01000126.schoolwires.net/cms/lib07/FL01000126/Centricity/Domain/... · Exponential Growth and Decay ... 3.5 Exponential Growth

Exponential Growth and Decay - Tianran Chentrchen.weebly.com/uploads/7/2/7/4/7274826/ch1-7.pdf · Exponential Growth and Decay An exponential function P(t) = P 0at can also be written

8.8 – Exponential Growth & Decay

Exponential Growth & Decay

Holt Algebra 2 7-1 Exponential Functions, Growth, and Decay exponential function baseasymptote exponential…

Exponential Growth and Decay - Jackson School … 6.4 Exponential Growth and Decay 317 Writing a Function You deposit $100 in a savings account that earns 6% annual interest compounded

6.2 Exponential Functions Objective: Classify an exponential function as representing exponential growth or exponential decay. Calculate the growth of

8.5 Exponential Growth and 8.6 Exponential Decay FUNctions

Exponential decay

9.6 Notes Part I Exponential Growth and Decay...exponential decay function to model this situation. Then find the population after 7 years. Step 1 Write the exponential decay function

7.7 EXPONENTIAL GROWTH AND DECAY: Exponential Decay: An equation that decreases. Exponential Growth: An equation that increases. Growth Factor: 1 plus

State “exponential growth” or “exponential decay” (no calculator needed)

GrowthDecay. 8.2 Exponential Decay Goal 1: I will graph exponential decay functions. Goal 2: I will use exponential decay functions to model real-life

Exponential growth and decay

5.3 Exponential Decay functions.notebook · Exponential Decay Functions Exponential Decay Functions have the form y = ab where a > O and O < b < I Exponential Decay o The