Explanation:
f(x) = (x + 3)^(1/3)
We notice that f(x) is a strictly increasing function.
Hence,
Minimum value of f(x) is when x = -11,
f(x) = (-11 + 3)^(1/3) = -2.
Maximum value of f(x) is when x = 5,
f(x) = (5 + 3)^(1/3) = 2.
P.S. You can differentiate f(x) to show that it is an increasing function.