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.
Analogy
Imagine you have a garden where the number of flowers planted (represented by x) affects how fast they grow. The more flowers you have, the faster they multiply and spread throughout the garden.
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).
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