What is the end behavior of [tex]f(x)=-x^6+2[/tex] ?

Answer:
A. As x→-∞ f(x) →-∞ and as x→∞ f(x) →-∞
Step-by-step explanation:
f(x) = -x^6 +2
As the numbers get very large, the 2 doesn't matter
Let x go to - ∞
f(-∞) = - (- ∞)^6
Anything to an even power is positive
f(-∞) = - ∞
As x →-∞ f(x) →-∞
Let x go to ∞
f(∞) = - ( ∞)^6
Anything to an even power is positive
f(∞) = - ∞
As x →∞ f(x) →-∞