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?

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

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

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

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?

$A LaTex expression showing \begin{align*}\text{highest power} &= 5\\ \text{leading coefficient} &= 4\end{align*}$

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

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?

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

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

A LaTex expression showing f(x) = -2x 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 7 -3x to the power of 6 -3x to the power of 5

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 +5x to the power of 5 +5x to the power of 4

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

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