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

Question

What is the end behavior of
`f(x)=-x^6+2` ?

Answer 1

A. As x→-∞ f(x) →-∞ and as x→∞ f(x) →-∞

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) →-∞