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

Level 1

This math topic focuses on understanding the end behavior of polynomial functions by examining power and leading coefficients. The exercises present different polynomial functions, and the task is to identify which function corresponds to a given set of power and leading coefficient values. The problems involve interpretation of latex-expressed polynomials guided by the properties indicated (such as "highest power" and "leading coefficient"). Each question provides options, and users must select the correct function that matches the given criteria.

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

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

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

Which function has this power and coefficient?

$A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= 4\end{align*}$

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

$A LaTex expression showing \begin{align*}\text{highest power} &= 1\\ \text{leading coefficient} &= 4\end{align*}$

Which function has this power and coefficient?

Which function has this power and coefficient?

$A LaTex expression showing \begin{align*}\text{highest power} &= 5\\ \text{leading coefficient} &= 2\end{align*}$

A LaTex expression showing f(x) = 2x to the power of 5 -3x to the power of 4 -3x to the power of 3

A LaTex expression showing f(x) = 2x to the power of 6 -3x to the power of 5 -3x to the power of 4

Which function has this power and coefficient?

$A LaTex expression showing \begin{align*}\text{highest power} &= 6\\ \text{leading coefficient} &= 4\end{align*}$

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?

$A LaTex expression showing \begin{align*}\text{highest power} &= 2\\ \text{leading coefficient} &= 4\end{align*}$

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

Which function has this power and coefficient?

$A LaTex expression showing \begin{align*}\text{highest power} &= 6\\ \text{leading coefficient} &= -5\end{align*}$

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

Which function has this power and coefficient?

$A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= 5\end{align*}$

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?

$A LaTex expression showing \begin{align*}\text{highest power} &= 7\\ \text{leading coefficient} &= -4\end{align*}$

A LaTex expression showing f(x) = -4x to the power of 8 +2x to the power of 7 +2x to the power of 6

A LaTex expression showing f(x) = -4x to the power of 7 +2x to the power of 6 +2x to the power of 5