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= - ∞