Exponential logarithmic models
Download
1 / 6

Exponential & Logarithmic Models - PowerPoint PPT Presentation


  • 154 Views
  • Uploaded on

Exponential & Logarithmic Models. 3.5. Common Models. The five most common models involving exponential and logarithmic functions are: Exponential Growth y = ae bx b>0 Exponential Decay y = ae -bx b>0 Gaussian Model Logistic Growth Logarithmic y = a + b∙ln x

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Exponential & Logarithmic Models' - azana


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

Common models
Common Models

The five most common models involving exponential and logarithmic functions are:

Exponential Growth y = aebx b>0

Exponential Decay y = ae-bx b>0

Gaussian Model

Logistic Growth

Logarithmic y = a + b∙ln x

y = a + b∙log10 x


Exponential growth decay
Exponential Growth & Decay

An exponential model increases or decreases by the same percent each year. Examples include: population growth, decay of organic matter, half-life, carbon dating, and compounding interest continuously.

y = ex y = e-x


Gaussian models
Gaussian Models

This type of model is often used in probability and statistics to represent populations that are normally distributed. The graph is called a bell-shaped curve. The average value for a population can be found from the bell-shaped curve by observing where the maximum y-value occurs. Examples are test scores!!!


Logistic growth
Logistic Growth

Some populations start out with a rapid growth followed by a declining rate of growth. Examples include bacteria growth and spread of a virus.


Logarithmic models
Logarithmic Models

Examples include intensity of earthquakes!!!


ad