polynomial function​

Answer:Polynomial Functions: A Brief OverviewWhat is a Polynomial Function?A polynomial function is a mathematical function that involves only non-negative integer powers or only positive integer exponents of a variable. It is expressed as a sum of terms, where each term is a product of a constant (coefficient) and a variable raised to a non-negative integer power.General Form:A polynomial function of degree n is typically represented as:f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₂x² + a₁x + a₀where: * aₙ, aₙ₋₁, ..., a₂, a₁, a₀ are coefficients (real or complex numbers). * n is a non-negative integer called the degree of the polynomial.Examples of Polynomial Functions: * Linear Function: f(x) = mx + b (degree 1) * Quadratic Function: f(x) = ax² + bx + c (degree 2) * Cubic Function: f(x) = ax³ + bx² + cx + d (degree 3)Key Points: * The degree of a polynomial determines its shape and behavior. * Polynomial functions are continuous and smooth. * The domain of a polynomial function is all real numbers. * The end behavior of a polynomial function is determined by its leading term (the term with the highest degree).Would you like to explore a specific aspect of polynomial functions, such as: * Graphing polynomial functions * Finding zeros or roots * Performing operations on polynomials (addition, subtraction, multiplication, division) * Applications of polynomial functionsFeel free to ask any questions you may have. * https://github.com/koeppern/polynomial_regression_demo

Answered by ellamenor6 | 2024-10-21