Function End Behaviour (Polynomials) - Rule to Graph

Level 1

This math topic focuses on understanding the end behavior of polynomial functions based on two key factors: the highest power (degree) of the polynomial and the sign of the leading coefficient. It raises specific questions about predicting the end behavior graph from given combinations of these factors, such as even or odd degrees paired with positive or negative leading coefficients. Each problem presents a scenario and asks which graph correctly represents the function's end behavior, enhancing skills in interpreting and graphing polynomial functions based on their leading term characteristics.

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

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Function End Behaviour (Polynomials) - Rule to Graph Worksheet

Function End Behaviour (Polynomials) - Rule to Graph

$A LaTex expression showing \begin{align*}\text{highest power} &= \text{even}\\ \text{leading coefficient} &= \text{negative}\end{align*}$

Which graph's end behaviour would this power and coefficient create?

An svg image showing a possible answer to this math problem

$A LaTex expression showing \begin{align*}\text{highest power} &= \text{odd}\\ \text{leading coefficient} &= \text{negative}\end{align*}$

Which graph's end behaviour would this power and coefficient create?

$A LaTex expression showing \begin{align*}\text{highest power} &= \text{even}\\ \text{leading coefficient} &= \text{positive}\end{align*}$

Which graph's end behaviour would this power and coefficient create?

$A LaTex expression showing \begin{align*}\text{highest power} &= \text{odd}\\ \text{leading coefficient} &= \text{positive}\end{align*}$

Which graph's end behaviour would this power and coefficient create?