Answer:
d. f(x) → +∞, x → +∞; f(x) → -∞, x → -∞
Explanation:
You want the end behavior of the cube root function f(x) = 2∛x +3.
Cube root
The vertical translation upward 3 units can be ignored when considering the end behavior. The sign of a cube root matches the sign of the argument, so the signs of x and f(x) will match when both get large.
f(x) → +∞, x → +∞; f(x) → -∞, x → -∞