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What is the end behavior for the function y=x7−3x5−5x3

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The end behavior of the function is:

limx→+∞y=+∞

limx→∞Y= -∞

To determine the end behavior of a polynomial function, you can look at the leading term, which is the term with the highest exponent.

In this case, the leading term is 27.

For the given function y = x² - 325 - 523, as x approaches positive or negative infinity, the leading term dominates the behavior of the function.

The sign of the coefficient of the leading term (+1 in this case) indicates the direction of the end behavior.

So, as 2 approaches positive infinity, the function y will also approach positive infinity, and as x approaches negative infinity, the function y will approach negative infinity.

Therefore, the end behavior of the function is:

limx→+∞y=+∞

limx→∞Y= - ∞

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