Determine the end behavior of the function as x → +∞ and as x → -∞.
f(x) = 1000 - 39x + 51x^2 - 10x^3
As x → +∞, f(x) → ????
As x → -∞, f(x) → ???
I know that the end behavior of the function is determined by the leading coefficient which in this case would be 10x^3? I just donot know what values I should plug into the answer box. Will the end function approaching both negative infinity and positive infinity just be positive.