# 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.

### Distinguish between linear and exponential models

PRACTICE PROBLEMS
Given a verbal description of a real-world relationship, determine whether that relationship is linear or exponential.

### Simplifying an exponential expression

VIDEO 5:10 minutes

### Rewriting an exponential expression in a hairier way

VIDEO 8:32 minutes

### Equivalent forms of exponential expressions

PRACTICE PROBLEMS

### How to compare the growth of an exponential model and a quadratic model (example)

VIDEO 7:00 minutes
Sal discusses two functions that model the shipment rate of cars. One function is quadratic and the other is exponential. Which one will eventually exceed the other?

### 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.

### Constructing linear and exponential functions

PRACTICE PROBLEMS