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exponential function

[/ˌɛkspəˈnɛnʃəl ˈfʌŋkʃən/]
nounfemininepl: exponential functions / funções exponenciais
função exponencial
1. A mathematical function of the form f(x) = a^x, where a is a positive constant (base) and x is the variable exponent
The exponential function grows rapidly as x increases.
A função exponencial cresce rapidamente conforme x aumenta.
2. In particular, the function f(x) = e^x, where e is Euler's number (approximately 2.71828)
The natural exponential function e^x is fundamental in calculus.
A função exponencial natural e^x é fundamental no cálculo.
3. Any process or behavior that increases or decreases at a rate proportional to its current value
Population growth often follows an exponential function.
O crescimento da população frequentemente segue uma função exponencial.
Synonyms
exponential growth functionexponential decay function
Antonyms
logarithmic functionpolynomial functionlinear function

Regional Variations

General Brazilian
função exponencial
Standard usage in mathematics education and textbooks
Portugal
função exponencial
Same standard usage as in Brazil
Academic/Technical
função exponencial
Universal usage in mathematics and sciences across all Portuguese-speaking regions

Related Idioms & Phrases

exponential growth
exponential decay
exponential time complexity
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