A function of the form xn where n is an even positive intege

A function of the form -xⁿ, where n is an even positive integer, has the following end behavior:

Which of the following answersis it?

As x approaches infinity, y approaches infinity and as x approaches negative infinity, y approaches negative infinity.

As x approaches infinity, y approaches negative infinity and as x approaches negative infinity, y approaches negative infinity.

As x approaches infinity, y approaches negative infinity and as x approaches negative infinity, y approaches infinity.

As x approaches infinity, y approaches infinity and as x approaches negative infinity, y approaches infinity.

Solution

The graph of a polynomial function of even degree , with a negative leading coefficient ( which is the case here), falls to the left and falls to the right.

Thus, y - as x and y - as x -. The 2nd option is the correct answer.