The topics in this unit focus on understanding the end behaviour of a polynomial function from graphs and equations. Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

View

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

Mobius Math Academy logo
Function End Behaviour (Polynomials) - Rule to Power and Coefficient
1
A LaTex expression showing \begin{align*}\text{highest power} &= \text{odd}\\ \text{leading coefficient} &= \text{positive}\end{align*}
Which highest power and leading coefficient fits this end behaviour description?
a A LaTex expression showing \begin{align*}\text{highest power} &= 2\\ \text{leading coefficient} &= 2\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 1\\ \text{leading coefficient} &= 2\end{align*}
2
A LaTex expression showing \begin{align*}\text{highest power} &= \text{even}\\ \text{leading coefficient} &= \text{positive}\end{align*}
Which highest power and leading coefficient fits this end behaviour description?
a A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= 5\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 2\\ \text{leading coefficient} &= 5\end{align*}
3
A LaTex expression showing \begin{align*}\text{highest power} &= \text{even}\\ \text{leading coefficient} &= \text{negative}\end{align*}
Which highest power and leading coefficient fits this end behaviour description?
a A LaTex expression showing \begin{align*}\text{highest power} &= 2\\ \text{leading coefficient} &= 3\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 2\\ \text{leading coefficient} &= -3\end{align*}
4
A LaTex expression showing \begin{align*}\text{highest power} &= \text{odd}\\ \text{leading coefficient} &= \text{negative}\end{align*}
Which highest power and leading coefficient fits this end behaviour description?
a A LaTex expression showing \begin{align*}\text{highest power} &= 8\\ \text{leading coefficient} &= -5\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 7\\ \text{leading coefficient} &= -5\end{align*}