Final answer:
The range of the function f(x) = 4x^5 with domain 0 ≤ x ≤ 50 is (-∞, +∞), which means it takes on all real values.
Step-by-step explanation:
The function f(x) = 4x^5 has the domain 0 ≤ x ≤ 50. To find the range of the function, we need to consider the behavior of the function as x approaches the endpoints of the domain.
Since the exponent of x is odd, the function will have the same sign as x.
Therefore, f(x) will be positive for all positive values of x and negative for all negative values of x.
The range of the function is (-∞, +∞), which means it takes on all real values.