Question

Which graph has the same end behavior as the graph of f(x) = –3x3 – x2 + 1?

Answer 1

Since you don't have choices, I can only give you a description of what to look form.

The end behavior of a function is the behavior (direction) of the graph as it approaches positive or negative infinity for the domain. Basically, we are asking where is the graph going on the left side or the right side.

In the given case, as x increases the graph goes down and as x decreases the graph goes up.  Look for a similar situation.

Answer 2

the answer to the question is D.