Exponential growth and decay

8 videos
4 skills
From compound interest to population growth to half lives of radioactive materials, it all comes down to exponential growth and decay.

Introduction to exponential functions

VIDEO 7:41 minutes
Sal introduces and defines exponential functions using the example y = 3^x and graphing it. He also solves an exponential word problem.

How to graph a basic exponential function given its formula (example)

VIDEO 5:32 minutes
Sal shows how to graph y=5^x, including a discussion of the end behavior of the function.

How to distinguish between linear and exponential models (examples)

VIDEO 3:28 minutes
Sal sorts various descriptions of real-world situation according to the type of growth they describe: linear or exponential.

Comparing the growth of an exponential and a quadratic model (example)

VIDEO 7:00 minutes
Sal illustrates that exponential functions eventually grow faster than quadratic functions by considering the exponential and the quadratic growth of shipment of cars to two different countries..

Compare the growth rates of exponentials and polynomials

PRACTICE PROBLEMS
Practice analyzing the end behavior of two functions that model similar real-world relationship, where one function is exponential and the other is polynomial.

How to construct linear and basic exponential functions from a table of values (example)

VIDEO 5:17 minutes
Sal constructs a linear function of the form f(x)=mx+b and an exponential function of the form g(x)=a*r^x, given a table of values of those functions.

How to construct linear and basic exponential functions from their graphs (example)

VIDEO 7:38 minutes
Sal constructs a linear function of the form f(x)=mx+b and an exponential function of the form g(x)=a*r^x, given the graphs of those functions.