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.

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

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Function End Behaviour (Polynomials) - Graph to Power and Coefficient
1
An svg image showing a math problem
Which highest power and leading coefficient would create a graph with this end behaviour?
a A LaTex expression showing \begin{align*}\text{highest power} &= 4\\ \text{leading coefficient} &= 3\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= 3\end{align*}
2
An svg image showing a math problem
Which highest power and leading coefficient would create a graph with this end behaviour?
a A LaTex expression showing \begin{align*}\text{highest power} &= 1\\ \text{leading coefficient} &= -5\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 2\\ \text{leading coefficient} &= -5\end{align*}
3
An svg image showing a math problem
Which highest power and leading coefficient would create a graph with this end behaviour?
a A LaTex expression showing \begin{align*}\text{highest power} &= 2\\ \text{leading coefficient} &= 4\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= 4\end{align*}
4
An svg image showing a math problem
Which highest power and leading coefficient would create a graph with this end behaviour?
a A LaTex expression showing \begin{align*}\text{highest power} &= 4\\ \text{leading coefficient} &= 2\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= 2\end{align*}
5
An svg image showing a math problem
Which highest power and leading coefficient would create a graph with this end behaviour?
a A LaTex expression showing \begin{align*}\text{highest power} &= 4\\ \text{leading coefficient} &= -2\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= -2\end{align*}
6
An svg image showing a math problem
Which highest power and leading coefficient would create a graph with this end behaviour?
a A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= 3\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 4\\ \text{leading coefficient} &= 3\end{align*}
7
An svg image showing a math problem
Which highest power and leading coefficient would create a graph with this end behaviour?
a A LaTex expression showing \begin{align*}\text{highest power} &= 1\\ \text{leading coefficient} &= 5\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 1\\ \text{leading coefficient} &= -5\end{align*}
8
An svg image showing a math problem
Which highest power and leading coefficient would create a graph with this end behaviour?
a A LaTex expression showing \begin{align*}\text{highest power} &= 4\\ \text{leading coefficient} &= -3\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= -3\end{align*}