What is the end behavior of thegraph of the polynomial function y=7x^ 12 -3x^ 8 -9x^ 4 ?

Answer: D
Step-by-step explanation:
Since the overall degree of the function is even and there are no domain restrictions, but the leading coefficient, 7, is odd the end behavior is:
[tex]\mathrm{a\\s}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty \:[/tex]