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Function End Behaviour (Polynomials) - Function to Behaviour

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) - Function to Behaviour Worksheet

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Function End Behaviour (Polynomials) - Function to Behaviour
1
What end behaviour would this function have?
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 A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow -\infty \\ \text{as }x \rightarrow \infty , y \rightarrow -\infty \\
b A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow -\infty \\ \text{as }x \rightarrow \infty , y \rightarrow \infty \\
2
What end behaviour would this function have?
A LaTex expression showing f(x) = -5x to the power of 3 -3x to the power of 2 -3x
a A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow \infty \\ \text{as }x \rightarrow \infty , y \rightarrow -\infty \\
b A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow \infty \\ \text{as }x \rightarrow \infty , y \rightarrow \infty \\
3
What end behaviour would this function have?
A LaTex expression showing f(x) = -2x to the power of 4 +3x to the power of 3 +3x to the power of 2
a A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow \infty \\ \text{as }x \rightarrow \infty , y \rightarrow \infty \\
b A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow -\infty \\ \text{as }x \rightarrow \infty , y \rightarrow -\infty \\
4
What end behaviour would this function have?
A LaTex expression showing f(x) = 5x to the power of 3 -2x to the power of 2 -2x
a A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow -\infty \\ \text{as }x \rightarrow \infty , y \rightarrow \infty \\
b A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow \infty \\ \text{as }x \rightarrow \infty , y \rightarrow -\infty \\
5
What end behaviour would this function have?
A LaTex expression showing f(x) = -5x to the power of 7 -4x to the power of 6 -4x to the power of 5
a A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow \infty \\ \text{as }x \rightarrow \infty , y \rightarrow \infty \\
b A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow \infty \\ \text{as }x \rightarrow \infty , y \rightarrow -\infty \\
6
What end behaviour would this function have?
A LaTex expression showing f(x) = -5x to the power of 3 -4x to the power of 2 -4x
a A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow \infty \\ \text{as }x \rightarrow \infty , y \rightarrow -\infty \\
b A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow -\infty \\ \text{as }x \rightarrow \infty , y \rightarrow \infty \\
7
What end behaviour would this function have?
A LaTex expression showing f(x) = -4x to the power of 6 -4x to the power of 5 -4x to the power of 4
a A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow -\infty \\ \text{as }x \rightarrow \infty , y \rightarrow \infty \\
b A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow -\infty \\ \text{as }x \rightarrow \infty , y \rightarrow -\infty \\
8
A LaTex expression showing f(x) = -5x+4
What end behaviour would this function have?
a A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow \infty \\ \text{as }x \rightarrow \infty , y \rightarrow -\infty \\
b A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow \infty \\ \text{as }x \rightarrow \infty , y \rightarrow \infty \\