Question

Which of the following could be the end behavior of f(x) = -x6 + 3x4 + 8x3 – 4x2 – 6? f(x) → ∞ as x → ±∞f(x) → -∞ as x → ±∞f(x) → -∞ as x → -∞ and f(x) → ∞ as x → ∞f(x) → ∞ as x → -∞ and f(x) → -∞ as x → ∞

Answer 1

The given function f is given by:

`f(x)=-x^6+3x^4+8x^3-4x^2-6`

Therefore, as:

`x\to\infty,f(x)\to-\infty`

and

`\begin{gathered} \text{ as } \\ x\to-\infty,f(x)\to-\infty \end{gathered}`

Therefore, the correct answer is:

f(x) → -∞ as x → ±∞