Function End Behaviour (Polynomials) - Behaviour to Graph

Level 1

This math topic focuses on understanding the end behavior of polynomial functions and how it translates to their graphs. It involves analyzing the limits of the function as $x$ approaches positive or negative infinity and determining which graph correctly represents these behaviors. Four specific types of end behaviors are covered, requiring students to match each behavior with one of two possible graphical representations.

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 Graph Worksheet

Function End Behaviour (Polynomials) - Behaviour to Graph

$A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow -\infty \\ \text{as }x \rightarrow \infty , y \rightarrow \infty \\$

Which graph shows this end behaviour?

An svg image showing a possible answer to this math problem

$A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow -\infty \\ \text{as }x \rightarrow \infty , y \rightarrow -\infty \\$

Which graph shows this end behaviour?

$A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow \infty \\ \text{as }x \rightarrow \infty , y \rightarrow \infty \\$

Which graph shows this end behaviour?

$A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow \infty \\ \text{as }x \rightarrow \infty , y \rightarrow -\infty \\$

Which graph shows this end behaviour?