Question

Question 4: Use the leading term test to write the end behavior of the function using limits

Answer 1

A.

Step-by-step explanation:

Given the function f(x) defined as follows:

`f(x)=-3x^4-x^3+2x^2-5x+12`

The leading coefficient = -3

The degree of the first term = 4

When n(the degree of the first term) is even

`a_n(\text{the leading coefficient) is negative}`

The graph falls to the left and right, therefore:

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

The correct choice is A.