What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?

The end behavior of f(x) = 2x^3-26x-24 will be identical to the end behavior of g(x) = x^3 

As x heads off to positive infinity, so does y. 
If x approaches negative infinity, then the same applies to y.

Plug in various values to see what happens. I recommend making a table.

Choice B