Final answer:
The end behavior of the graph of the given polynomial function is as follows: as x approaches negative infinity, the graph approaches positive infinity, and as x approaches positive infinity, the graph also approaches positive infinity.
Step-by-step explanation:
The end behavior of a polynomial function is determined by the degree and leading coefficient of the polynomial.
In this case, the given polynomial function is y = 7x^12 - 3x^8 - 9x^4.
Since the degree of the polynomial is even and the leading coefficient is positive, the end behavior of the graph is as follows:
As x approaches negative infinity, the graph of the polynomial function approaches positive infinity.
As x approaches positive infinity, the graph of the polynomial function also approaches positive infinity.