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