Answer:
A.
Explanation:
Given the function f(x) defined as follows:
[tex]f(x)=-3x^4-x^3+2x^2-5x+12[/tex]
The leading coefficient = -3
The degree of the first term = 4
When n(the degree of the first term) is even
[tex]a_n(\text{the leading coefficient) is negative}[/tex]
The graph falls to the left and right, therefore:
[tex]\begin{gathered} \text{Lim f(x) as }x\to-\infty=-\infty \\ \text{Lim f(x) as }x\to\infty=-\infty \end{gathered}[/tex]
The correct choice is A.
