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) - Function to Power and Coefficient Worksheet

Mobius Math Academy logo
Function End Behaviour (Polynomials) - Function to Power and Coefficient
1
A LaTex expression showing f(x) = 4x-4
What is the highest power and leading coefficient of this function?
a A LaTex expression showing \begin{align*}\text{highest power} &= 1\\ \text{leading coefficient} &= 4\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 1\\ \text{leading coefficient} &= -4\end{align*}
2
What is the highest power and leading coefficient of this function?
A LaTex expression showing f(x) = -2x to the power of 4 +5x to the power of 3 +5x to the power of 2
a A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= -2\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 4\\ \text{leading coefficient} &= -2\end{align*}
3
What is the highest power and leading coefficient of this function?
A LaTex expression showing f(x) = -5x to the power of 7 +5x to the power of 6 +5x to the power of 5
a A LaTex expression showing \begin{align*}\text{highest power} &= 7\\ \text{leading coefficient} &= 5\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 7\\ \text{leading coefficient} &= -5\end{align*}
4
What is the highest power and leading coefficient of this function?
A LaTex expression showing f(x) = 4x to the power of 5 -3x to the power of 4 -3x to the power of 3
a A LaTex expression showing \begin{align*}\text{highest power} &= 5\\ \text{leading coefficient} &= 4\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 5\\ \text{leading coefficient} &= -3\end{align*}
5
What is the highest power and leading coefficient of this function?
A LaTex expression showing f(x) = 5x to the power of 3 -4x to the power of 2 -4x
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} &= 3\\ \text{leading coefficient} &= 5\end{align*}
6
What is the highest power and leading coefficient of this function?
A LaTex expression showing f(x) = 3x to the power of 3 +2x to the power of 2 +2x
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} &= 3\\ \text{leading coefficient} &= -3\end{align*}
7
What is the highest power and leading coefficient of this function?
A LaTex expression showing f(x) = -2x to the power of 3 +4x to the power of 2 +4x
a A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= -2\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 2\\ \text{leading coefficient} &= -2\end{align*}
8
A LaTex expression showing f(x) = 3x+2
What is the highest power and leading coefficient of this function?
a A LaTex expression showing \begin{align*}\text{highest power} &= 1\\ \text{leading coefficient} &= -3\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 1\\ \text{leading coefficient} &= 3\end{align*}