Home
Grade 1Grade 2Grade 3Grade 4Grade 5Grade 6Grade 7Grade 8Grade 9Grade 10Grade 11Grade 12Math Themes
Explorers (Grades 1-3)Explorers Elite (1-3)Navigators (Grades 4-6)Navigators Elite (4-6)Challengers (Grades 7-9)Challengers Elite (7-9)Scholars (Grades 10-12)Scholars Elite (10-12)Schedule an Evaluation
Mobius MethodFlexible ClassesCompanySupport
Pricing
Ctrl+k
Sign InJoin
+2

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

Level 1

This topic covers the relationship between the highest powers, leading coefficients of polynomial functions, and their graphs' end behavior. Specifically, students learn to determine the highest power and leading coefficient that correspond to various graphical depictions of polynomials' end behaviors. Each question displays a different polynomial graph, and students must select from multiple choices to find the appropriate highest power and leading coefficient that would produce the given graph's end behavior.

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

more
WorksheetView

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

Mobius Math Academy logo
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} &= 3\\ \text{leading coefficient} &= 5\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= -5\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} &= -3\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 1\\ \text{leading coefficient} &= 3\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} &= 3\\ \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} &= 3\\ \text{leading coefficient} &= -3\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= 3\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} &= 1\\ \text{leading coefficient} &= 5\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 1\\ \text{leading coefficient} &= -5\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} &= -5\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 2\\ \text{leading coefficient} &= -5\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} &= 4\\ \text{leading coefficient} &= -2\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= -2\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} &= 2\\ \text{leading coefficient} &= -4\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= -4\end{align*}