Final answer:
The domain is all real numbers and the range is all real numbers less than or equal to -5.
Step-by-step explanation:
The domain of the function y = -6x^2 - 12x - 5 is the set of all real numbers. Since there are no restrictions on the values of x, all real numbers can be plugged into the function.
The range of this function is the set of all real numbers less than or equal to -5. The negative coefficient in front of the x^2 term means that the graph of the parabola opens downward, and the vertex of the parabola represents the maximum value of the function. In this case, the maximum value is -5.