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The end behavior of a function is the behavior of the graph of the function as the input values (x-values) approach positive infinity or negative infinity.
To determine the end behavior of a function, you can examine the leading term of the function (the term with the highest exponent). The leading term determines the overall shape of the graph and the direction in which it is "heading" as the x-values get very large.
The end behavior of a function can be helpful to understand the overall shape and behavior of the graph of the function. It is also a helpful tool to compare the graphs of different functions.
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