Function End Behaviour (Polynomials) - Power and Coefficient to Graph

Level 1

This math topic focuses on understanding the end behavior of polynomial functions based on their highest power and leading coefficient. It involves interpreting given information about the degree and the leading coefficient of polynomials to determine the graph's end behavior. The problems are formatted to challenge the student to select the correct graph depicting this behavior from multiple options. These concepts are integral for students learning about polynomials and their graphical representations in an introductory unit on function end behavior.

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

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Function End Behaviour (Polynomials) - Power and Coefficient to Graph Worksheet

Function End Behaviour (Polynomials) - Power and Coefficient to Graph

$A LaTex expression showing \begin{align*}\text{highest power} &= 2\\ \text{leading coefficient} &= 5\end{align*}$

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

An svg image showing a possible answer to this math problem

$A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= 2\end{align*}$

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

$A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= 3\end{align*}$

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

$A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= -3\end{align*}$

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

$A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= 4\end{align*}$

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

$A LaTex expression showing \begin{align*}\text{highest power} &= 2\\ \text{leading coefficient} &= -2\end{align*}$

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

$A LaTex expression showing \begin{align*}\text{highest power} &= 1\\ \text{leading coefficient} &= 4\end{align*}$

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

$A LaTex expression showing \begin{align*}\text{highest power} &= 1\\ \text{leading coefficient} &= -2\end{align*}$

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