End Behavior of Functions

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What is the end behavior of a function?

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The end behavior of a function describes how the function behaves as the input values approach positive or negative infinity.

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Define the term 'end behavior' in the context of functions.

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End behavior refers to the values that a function approaches as the input (x) approaches positive or negative infinity.

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What does it mean if a function's end behavior is @@x ightarrow- ext{infinity}; f(x) ightarrow+ ext{infinity}@@?

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It means that as x approaches negative infinity, the function f(x) increases without bound.

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What does it mean if a function's end behavior is @@x ightarrow+ ext{infinity}; f(x) ightarrow- ext{infinity}@@?

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It means that as x approaches positive infinity, the function f(x) decreases without bound.

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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 the leading term of the polynomial.

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What is the significance of the degree of a polynomial in determining end behavior?

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The degree of a polynomial indicates the highest power of x, which influences whether the end behavior goes to positive or negative infinity.

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If a polynomial has an even degree and a positive leading coefficient, what is its end behavior?

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