X^2*e^x

Definition

The expression x^2*e^x represents a function that combines the power of x squared with the exponential growth of e^x. It is a common example of an algebraic function with both polynomial and exponential terms.

Related terms

Polynomial Function:

A polynomial function is a mathematical expression consisting of variables, coefficients, and exponents, involving only addition, subtraction, multiplication, and non-negative integer exponents.

Exponential Function:

An exponential function is a mathematical expression in which a constant base is raised to a variable exponent. It represents rapid growth or decay.

Composite Function:

A composite function is formed by applying one function to another. In this case, x^2*e^x can be seen as the composition of two functions - squaring (x^2) and exponential growth (e^x).