Final answer:
The range of the function -3sin(1/3x) + 4 is from 1 to 7.
Step-by-step explanation:
The range of the function -3sin(1/3x) + 4 can be found by analyzing the range of the sine function and then applying the appropriate transformations.
The range of the sine function is between -1 and 1. However, when we multiply it by -3, the range becomes -3 to 3.
Finally, when we add 4 to the function, the range shifts up by 4 units. So, the range of the given function is from 1 to 7.