Function End Behaviour (Polynomials) - Power and Coefficient to Function (Level 1)

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

Level 1

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.

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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