Exponential decay equations and graphs

Formula and graph for exponential Decay

Exponential Decay functions model many real world scenarios. Probably the most well known example of exponential decay in the real world involves the half-life of radioactive substances

General Formula for Equation

of Exponential Decay


Example

of Equation & Graph of Exponential Decay Function

Below is a picture of one of the most commonly studied examples of exponential decay, the equation y = (½)x

Picture of Exponential Decay function example
Problem 1

What is the graph of the following exponential decay function?

Exponential growth of y equals 3x
Problem 2

What is the graph of the exponential decay function below?

Problem 3

Can you graph the exponential decay function whose equation is given below?

Problem 4

Can you graph the exponential decay function whose equation is given below?

Graphs of Exponential Decay Functions and Equations

Below you can compare the graphs for three different exponential decay equations

Graphs of exponential decay equations