A-Z Popular Blog Top Search »
Business Strategy

Growth: Exponential vs Hyperbolic

 , updated on
Exponential growth and hyperbolic growth are often confused because they both feature ever increasing rates of growth or decline. The main difference between them is that exponential growth moves towards infinity with time. Hyperbolic growth becomes infinity at a point in time in a dramatic event known as a singularity.

Exponential Growth

Exponential growth is characterized by an ever increasing growth rate or rate of decline. It eventually starts moving very quickly but remains a function of time. In other words, it doesn't suddenly jump to infinity. For example, exponential growth can be seen in the growth of bacteria, economies and certain environmental pollutants.

Hyperbolic Growth

Hyperbolic growth and decline are characterized by a sudden and complete breakout or breakdown that instantly reaches infinity. For example, a company with a high debt load based on floating rates may be marginally profitable at a 3% base rate, at 4% it may struggle but survive, at 5% it suddenly and dramatically fails.
Exponential vs Hyperbolic
Growth defined by an exponential function.
Growth that reaches a singularity at a finite point.
Example Equation
y = 2x
y = 1/x
Example Scenario
Economic growth, pollution
Technological singularity, things that fail at a point such as a bridge that fails at a certain load.

Statistical Analysis

This is the complete list of articles we have written about statistical analysis.
Data Science
Exponential Growth
Large Numbers
Misuse of Statistics
Negative Correlation
Positive Correlation
Regression Analysis
Statistical Model
Structured Data
More ...
If you enjoyed this page, please consider bookmarking Simplicable.

Types Of Growth

An overview of growth.

Exponential Growth

An overview of exponential growth.

Bounded Growth

An overview of bounded growth.

Trees Don't Grow To The Sky

An overview of trees don't grow to the sky, a German proverb.

Economic Growth

A complete overview of economic growth with examples.

Business Growth

An overview of the positives and negatives of business growth.


An overview of growth with examples.

Growth Rate

The growth rate formula with example calculations.

Growth Opposite

A list of antonyms for growth.

Words To Describe Change

A vocabulary for describing change.

Statistical Analysis

A list of basic statistical analysis techniques.

Cohort Analysis

An overview of cohort analysis.


A definition of analytics with examples.

Continuous Data vs Discrete Data

The difference between continuous and discrete data.

Hypothesis Types

The common types of hypothesis with examples.

Negative Correlation

The definition of negative correlation with examples.


The common types of error with examples.

Structured Data

An overview of structured data with examples.

Regression Analysis

An overview of regression analysis with examples.
The most popular articles on Simplicable in the past day.

New Articles

Recent posts or updates on Simplicable.
Site Map