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Function End Behaviour (Polynomials) - Behaviour to Rule

Level 1

This math topic focuses on understanding the end behavior of polynomial functions and determining their highest power and leading coefficient based on their behavior as \( x \) approaches infinity and negative infinity. Each problem presents a polynomial's end behavior trends in both positive and negative directions and asks for an inference about the polynomial's degree (odd or even) and the sign (positive or negative) of the leading coefficient. These skills are foundational for studying the characteristics and graphing of polynomial functions.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Function End Behaviour (Polynomials) - Behaviour to Rule


What does this end behaviour tell us about a function's highest power and leading coefficient?

as x→−∞,y→∞as x→∞,y→∞\text{as }x \rightarrow -\infty , y \rightarrow \infty \\ \text{as }x \rightarrow \infty , y \rightarrow \infty \\

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