End Behavior

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What is end behavior in mathematics?

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End behavior refers to the behavior of a function as the input values approach positive or negative infinity. It describes how the output values of the function behave in these limits.

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What is the significance of end behavior in graphing functions?

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End behavior helps in sketching the graph of a function by indicating how the graph behaves at the extremes, which is crucial for understanding the overall shape of the graph.

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How can you determine the end behavior of a polynomial function?

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The end behavior of a polynomial function can be determined by its leading term. If the leading coefficient is positive and the degree is even, the function approaches positive infinity on both ends.

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