What does end behavior means?

What does end behavior means?

The end behavior of a function f describes the behavior of the graph of the function at the ends of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +u221e ) and to the left end of the x-axis (as x approaches u2212u221e ).

What are the four types of end behavior?

DegreeLeading CoefficientEnd behavior of the functionEvenPositivef(x)+u221e, as xu2212u221ef(x)+u221e, as x+u221eEvenNegativef(x)u2212u221e, as xu2212u221ef(x)u2212u221e, as x+u221eOddPositivef(x)u2212u221e, as xu2212u221ef(x)+u221e, as x+u221eOddNegativef(x)+u221e, as xu2212u221ef(x)u2212u221e, as x+u221e

How do you determine end behavior?

To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph.

How do you find the end behavior of a function?

To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph.

What functions end behavior?

DegreeLeading CoefficientEnd behavior of the functionEvenPositivef(x)+u221e, as xu2212u221ef(x)+u221e, as x+u221eEvenNegativef(x)u2212u221e, as xu2212u221ef(x)u2212u221e, as x+u221eOddPositivef(x)u2212u221e, as xu2212u221ef(x)+u221e, as x+u221eOddNegativef(x)+u221e, as xu2212u221ef(x)u2212u221e, as x+u221e

What are ending behaviors?

The end behavior of a function f describes the behavior of the graph of the function at the ends of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +u221e ) and to the left end of the x-axis (as x approaches u2212u221e ).

How do you write end behavior?

To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph.

How do you determine the end behavior of a function?

The end behavior of a function f describes the behavior of the graph of the function at the ends of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +u221e ) and to the left end of the x-axis (as x approaches u2212u221e ).

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