Graphs: End Behavoir Question

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In summary, end behavior refers to how a graph behaves at the far left and far right as the x-values approach positive or negative infinity. To determine the end behavior, look at the leading coefficient of the highest degree term in the polynomial - a positive coefficient means the graph rises on both ends, while a negative coefficient means it falls on both ends. Even end behavior occurs when the graph rises or falls on both ends, while odd end behavior occurs when it rises on one end and falls on the other. End behavior is important for understanding the overall behavior of a graph and can provide information about the degree and leading coefficient of a polynomial function. End behavior cannot change in a graph, but it can vary for different types of functions.
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soggybread
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Hi I've got a little question regarding the end bevhoir of this graph, x/(x^2-4)

http://img20.imageshack.us/img20/5609/end7ht.jpg

I think that determining the end behavoir is in relation to the x axis. So would the end bevhoir of the graph be from negative to postitive? (-/+)

Thanks for your time!

Jason
 
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What do you mean by "end behavior"?
 
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,

It seems like you have a good understanding of end behavior and how it relates to the x-axis. In this specific graph, the end behavior can be determined by looking at the behavior of the function as x approaches positive and negative infinity. As x approaches positive infinity, the function approaches 0, and as x approaches negative infinity, the function also approaches 0. This can be seen by the graph approaching the x-axis on both sides. Therefore, the end behavior of this graph can be described as approaching 0 on both sides.

It is important to note that end behavior is not dependent on the x-axis, but rather the behavior of the function as x approaches positive and negative infinity. This can be useful in understanding the overall behavior and trends of a function. I hope this helps clarify the concept of end behavior for you. Keep up the good work in understanding graphs!
 

What is end behavior?

End behavior refers to the behavior of a graph as the x-values approach positive or negative infinity. It describes what happens to the graph at the "ends" or far left and far right of the graph.

How do I determine the end behavior of a graph?

To determine the end behavior of a graph, look at the leading coefficient of the highest degree term in the polynomial. If the coefficient is positive, the graph will rise on both ends. If the coefficient is negative, the graph will fall on both ends.

What is the difference between even and odd end behavior?

Even end behavior occurs when the graph rises or falls on both ends, while odd end behavior occurs when the graph rises on one end and falls on the other end. This is determined by the exponent of the highest degree term in the polynomial. If the exponent is even, the end behavior will be even. If the exponent is odd, the end behavior will be odd.

Why is end behavior important?

End behavior is important because it helps us understand the overall behavior of a graph. It can also give us information about the degree and leading coefficient of a polynomial function.

Can end behavior change in a graph?

No, end behavior cannot change in a graph. The end behavior of a polynomial function is determined by the degree and leading coefficient, which do not change. However, the end behavior can vary for different types of functions, such as exponential or logarithmic functions.

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