Question

Describe the end behavior of the graph of the function

Answer 1

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) → -∞