Question

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

Answer 1

Answer:

A.

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.