Choose linear or non-linear to describe the function. \( x^{3}-9=y \) linear non-linear

This function is non-linear because it involves a term where the variable \( x \) is raised to the third power, creating a curve rather than a straight line when graphed. Non-linear functions represent relationships that change at different rates, which is reflected in this cubic equation. In everyday life, non-linear functions are everywhere! From how we calculate profit margins as production increases to the trajectory of a thrown ball, these relationships can help us model complex systems. Understanding non-linear functions can aid in solving real-world problems, such as optimization in business and predicting natural phenomena.