Function End Behaviour (Polynomials) - Rule to Function

Level 1

This math topic focuses on the end behavior of polynomial functions. It involves determining which function corresponds to given characteristics regarding the highest power and leading coefficient. The problems ask students to identify functions based on either an odd or even highest power combined with a positive or negative leading coefficient. This topic helps reinforce understanding of how polynomial characteristics affect their graphical behavior.

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

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Function End Behaviour (Polynomials) - Rule to Function Worksheet

Function End Behaviour (Polynomials) - Rule to Function

Which function has this power and coefficient?

$A LaTex expression showing \begin{align*}\text{highest power} &= \text{odd}\\ \text{leading coefficient} &= \text{positive}\end{align*}$

A LaTex expression showing f(x) = 5x to the power of 3 -3x to the power of 2 -3x

Which function has this power and coefficient?

$A LaTex expression showing \begin{align*}\text{highest power} &= \text{even}\\ \text{leading coefficient} &= \text{positive}\end{align*}$

A LaTex expression showing f(x) = 4x to the power of 6 +2x to the power of 5 +2x to the power of 4

Which function has this power and coefficient?

$A LaTex expression showing \begin{align*}\text{highest power} &= \text{odd}\\ \text{leading coefficient} &= \text{negative}\end{align*}$

A LaTex expression showing f(x) = -2x to the power of 3 -4x to the power of 2 -4x

A LaTex expression showing f(x) = -2x to the power of 2 -4x-4

Which function has this power and coefficient?

$A LaTex expression showing \begin{align*}\text{highest power} &= \text{even}\\ \text{leading coefficient} &= \text{negative}\end{align*}$