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) - Behaviour to Function Worksheet

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Function End Behaviour (Polynomials) - Behaviour to Function
1
Which function (based on its powers and coefficents) would have this end behaviour?
A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow \infty \\ \text{as }x \rightarrow \infty , y \rightarrow \infty \\
a A LaTex expression showing f(x) = 5x to the power of 7 +3x to the power of 6 +3x to the power of 5
b A LaTex expression showing f(x) = 5x to the power of 6 +3x to the power of 5 +3x to the power of 4
2
Which function (based on its powers and coefficents) would have this end behaviour?
A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow -\infty \\ \text{as }x \rightarrow \infty , y \rightarrow -\infty \\
a A LaTex expression showing f(x) = -2x-2
b A LaTex expression showing f(x) = -2x to the power of 2 -2x-2
3
Which function (based on its powers and coefficents) would have this end behaviour?
A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow \infty \\ \text{as }x \rightarrow \infty , y \rightarrow -\infty \\
a A LaTex expression showing f(x) = -3x to the power of 2 -4x-4
b A LaTex expression showing f(x) = -3x to the power of 3 -4x to the power of 2 -4x
4
Which function (based on its powers and coefficents) would have this end behaviour?
A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow -\infty \\ \text{as }x \rightarrow \infty , y \rightarrow \infty \\
a A LaTex expression showing f(x) = 5x to the power of 3 +4x to the power of 2 +4x
b A LaTex expression showing f(x) = -5x to the power of 3 +4x to the power of 2 +4x
Function End Behaviour (Polynomials) - Behaviour to Function (Level 1) - Mobius Math Academy