Explore Exponential Functions Interactively
Visualize how changing parameters affects exponential growth and decay. Enter values and see the function plot update in real-time.
Exponential Function Parameters
Interactive Plot
About Exponential Functions
An exponential function is a function of the form f(t) = a * e^(rt), where:
- f(t) is the value of the function at time t,
- a is the initial value (the value when t=0),
- e is Euler's number (approximately 2.71828),
- r is the growth rate (if r > 0) or decay rate (if r < 0).
- t is time.
Exponential functions are used to model phenomena where growth or decay is proportional to the current value, such as population growth, radioactive decay, and compound interest.
Use this tool to visualize how different initial values and growth/decay rates affect the shape of the exponential function. Adjust the parameters and explore the dynamic nature of exponential growth and decay.