Exponential logistic functions
This presentation is the property of its rightful owner.
Sponsored Links
1 / 12

Exponential & Logistic Functions PowerPoint PPT Presentation


  • 72 Views
  • Uploaded on
  • Presentation posted in: General

Exponential & Logistic Functions. Section 3.1. Exponential Functions. f (x) = ab x. Variable is in the exponent. Growth/Decay Factor. Principal Amount (y-intercept). Growth a >0 b>1. Decay a >0 0<b < 1. f (x) = 5( 1.3 ) x. f (x) = 5( 0.3 ) x. Base “ e ”. e = 2.718…

Download Presentation

Exponential & Logistic Functions

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Exponential logistic functions

Exponential & Logistic Functions

Section 3.1


Exponential functions

Exponential Functions

f(x)= abx

  • Variable is in the exponent

Growth/Decay

Factor

Principal Amount

(y-intercept)


Exponential logistic functions

Growth

a>0

b>1

Decay

a>0

0<b< 1

f(x)= 5(1.3)x

f(x)= 5(0.3)x


Base e

Base “e”

e = 2.718…

Occurs in many places in “nature”

f(x) = aekx


How to calculate e

How to calculate e


Logistic function

Logistic Function

Growth is RESTRICTED (exponential is unrestricted)

Limit to Growth

“Capacity”

Growth: b < 1


Analyze each function

Analyze each function

Analyze each function

Ex 1) f(x) = 3(2)x

Ex 2) f(x) = 2(4)-x+1

  • Transformations

  • Growth/Decay?

  • End behavior

  • Y-intercept


Analyze each function1

Analyze each function

Ex 1)

Ex 2)

  • Limit to growth

  • Horizontal Asymptotes

  • Y-intercept


Graph the function y 3 x

Graph the function y = 3x

  • Determine the Domain, Range, and y-intercept

D: x is any real number

R: y > 0

Y-intercept is at 1


Graph the function y 0 5 x

Graph the function y = (0.5)x

  • Determine the Domain, Range, and y-intercept

D: x is any real number

R: y > 0

Y-intercept is at 1


Graph the function y 5 4 x

Graph the function y = 5(4)x

  • Determine the Domain, Range, and y-intercept

D: x is any real number

R: y > 0

Y-intercept is at 5


Graph the function y 2 3 x

Graph the function y = -2(3)x

  • Determine the Domain, Range, and y-intercept

D: x is any real number

R: y < 0

Y-intercept is at -2


  • Login