Final answer:
The range of the function is (-∞, 0] and the domain is (-∞, ∞).
Step-by-step explanation:
The range of the function is the set of all possible output values, or y-values. In this case, the function is y = -e^(x^-3). Since the exponential function decreases as x gets larger, the range of this function is (-∞, 0]. We use the interval notation (-∞, 0] to represent this.
The domain of the function is the set of all possible input values, or x-values. In this case, there are no restrictions on the x-values that can be plugged into the function. So, the domain is (-∞, ∞), which represents all real numbers.