Meaning & Definition
noun
A function or expression in which a number (the base) is raised to a power (the exponent).
In algebra, understanding how to manipulate an exponential is crucial for solving complex equations.
adjective
Characterized by or involving an exponent; increasing or growing at a constant rate relative to its current value.
The company's growth rate has been exponential over the last five years, doubling its revenue each year.
Relating to a mathematical function or expression in which a constant base is raised to a variable exponent.
In calculus, an exponential function is typically represented as f(x) = a * e^(bx), where e is the base of natural logarithms.
Describing rapid or escalating growth, particularly in relation to technology or population.
The exponential rise of technology in everyday life has changed how we interact with the world.
Etymology
From Latin 'exponere', meaning to put forth, explain.
Common Phrases and Expressions
exponential growth:
Rapid increase in size or amount.
exponential decay:
Decline at a rate proportional to its current value.
exponential function:
A mathematical function where the variable is in the exponent.
Slang Meanings
Blowing up or becoming very popular quickly.
Her TikTok account went exponential overnight!
Something that escalates quickly.
Their argument got exponential in no time.