E^(-2x^2)

Definition

This exponential function represents raising Euler's number 'e' to the power of (-2x^2). It decays rapidly as x increases since it has negative exponents.

Related terms

Exponential Decay:

A type of exponential function where the value decreases rapidly as the input increases.

Euler's Number (e): An irrational number approximately equal to 2.71828, often used in mathematical calculations involving growth or decay.

Quadratic Function:

A polynomial function of degree two, represented by an equation with a squared term (such as -2x^2).