Select the graph and the description of the end behavior of f(x) = −x3 − 2.

 Option 4 is correct

Explanation:

End behaviour of graph can be check by following rules

Case 1: even degree  and positive leading coefficient

Case2: Even degree and negative leading coefficient

Case 3: odd degree and positive leading coefficient

Case4: Odd degree and negative leading coefficient

Here we have a case of odd degree and negative leading coefficient  here when            

Hence, Option 4 is correct

x:       y:  

-1         4

0         4

1         6

2         18

3         20