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) - Rule to Function Worksheet

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Function End Behaviour (Polynomials) - Rule to Function
1
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 A LaTex expression showing f(x) = 5x to the power of 3 -3x to the power of 2 -3x
b A LaTex expression showing f(x) = -5x to the power of 3 -3x to the power of 2 -3x
2
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 A LaTex expression showing f(x) = 4x to the power of 6 +2x to the power of 5 +2x to the power of 4
b A LaTex expression showing f(x) = -4x to the power of 6 +2x to the power of 5 +2x to the power of 4
3
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 A LaTex expression showing f(x) = -2x to the power of 3 -4x to the power of 2 -4x
b A LaTex expression showing f(x) = -2x to the power of 2 -4x-4
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*}
a A LaTex expression showing f(x) = -4x to the power of 6 +2x to the power of 5 +2x to the power of 4
b A LaTex expression showing f(x) = 4x to the power of 6 +2x to the power of 5 +2x to the power of 4