exponential functions
Powers of constants
Exponential functions are mathematical functions where a constant base is raised to a variable power, producing rapid growth or decay.
The general form is f(x) = aˣ, where a is a positive constant.
They model phenomena like compound interest, population growth, and radioactive decay.
In casual use, exponential growth often just means very fast increase, sometimes loosely: The company's user base grew exponentially.
- equationsMathematical equality statements
- numbersCounting and calculation symbols
- calculusMathematical analysis system
- continuous growthOngoing increase over time
- growth curveGraph of increase
population explosion · bacterial growth · algebra · differential equations · half-life · natural logarithms · compound interest · rate of change · limits · integration · statistics · probability · doubling time · addition · series · volume · population growth · radioactive decay
exponential functionslinear functions
Equations producing straight graphs
linear growth · steady-state · zero growth · quadratic functions · stagnation
exponential, exponent, exponents, exponentially, function, functions, functional, functionally, functionality