Answer. Second option:
f(x) → -∞ as x → -∞ and f(x) → -∞ as x → ∞
Solution:
f(x)=-8x^4-2x^3+x
The end behavior of the graph of a function depends on the term with x with the maximum exponent. In this case this term is -8x^4
When x→ -∞, f(x) → -8(-∞)^4=-8(∞), then f(x) → -∞
When x→ ∞, f(x) → -8(∞)^4=-8(∞), then f(x) → -∞