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 Rule

Level 1

This math topic focuses on determining the end behavior of polynomial functions by analyzing their graphs. Specifically, students learn to infer the highest power and the sign of the leading coefficient by examining how the graph behaves as it approaches negative and positive infinities. Each problem presents a graph, and students are tasked with choosing between multiple choices that describe the polynomial's degree (odd or even) and the sign of its leading coefficient (positive or negative). This practice helps solidify understanding of polynomial functions and their characteristics based on their visual representations.

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

more
WorksheetView

Function End Behaviour (Polynomials) - Graph to Rule Worksheet

Mobius Math Academy logo
Function End Behaviour (Polynomials) - Graph to Rule
1
An svg image showing a math problem
What does this graph's end behaviour tell us about its highest power and leading coefficient?
a A LaTex expression showing \begin{align*}\text{highest power} &= \text{odd}\\ \text{leading coefficient} &= \text{negative}\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= \text{odd}\\ \text{leading coefficient} &= \text{positive}\end{align*}
2
An svg image showing a math problem
What does this graph's end behaviour tell us about its highest power and leading coefficient?
a A LaTex expression showing \begin{align*}\text{highest power} &= \text{even}\\ \text{leading coefficient} &= \text{negative}\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= \text{even}\\ \text{leading coefficient} &= \text{positive}\end{align*}
3
An svg image showing a math problem
What does this graph's end behaviour tell us about its highest power and leading coefficient?
a A LaTex expression showing \begin{align*}\text{highest power} &= \text{odd}\\ \text{leading coefficient} &= \text{positive}\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= \text{odd}\\ \text{leading coefficient} &= \text{negative}\end{align*}
4
An svg image showing a math problem
What does this graph's end behaviour tell us about its highest power and leading coefficient?
a A LaTex expression showing \begin{align*}\text{highest power} &= \text{odd}\\ \text{leading coefficient} &= \text{positive}\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= \text{odd}\\ \text{leading coefficient} &= \text{negative}\end{align*}
5
An svg image showing a math problem
What does this graph's end behaviour tell us about its highest power and leading coefficient?
a A LaTex expression showing \begin{align*}\text{highest power} &= \text{odd}\\ \text{leading coefficient} &= \text{positive}\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= \text{even}\\ \text{leading coefficient} &= \text{positive}\end{align*}
6
An svg image showing a math problem
What does this graph's end behaviour tell us about its highest power and leading coefficient?
a A LaTex expression showing \begin{align*}\text{highest power} &= \text{odd}\\ \text{leading coefficient} &= \text{negative}\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= \text{odd}\\ \text{leading coefficient} &= \text{positive}\end{align*}
7
An svg image showing a math problem
What does this graph's end behaviour tell us about its highest power and leading coefficient?
a A LaTex expression showing \begin{align*}\text{highest power} &= \text{odd}\\ \text{leading coefficient} &= \text{negative}\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= \text{odd}\\ \text{leading coefficient} &= \text{positive}\end{align*}
8
An svg image showing a math problem
What does this graph's end behaviour tell us about its highest power and leading coefficient?
a A LaTex expression showing \begin{align*}\text{highest power} &= \text{odd}\\ \text{leading coefficient} &= \text{positive}\end{align*}
b A LaTex expression showing \begin{align*}\text{highest power} &= \text{even}\\ \text{leading coefficient} &= \text{positive}\end{align*}