Final answer:
The range of the given equation y = -√(2 - x) + 3 is y ≤ 3.
Step-by-step explanation:
The given equation is y = -√(2 - x) + 3. To find the range, we need to determine the set of all possible values of y. The range represents the vertical values of the graph.
Since the square root of a number can only be equal to or greater than zero, the expression -√(2 - x) is either zero or negative. Adding 3 to a zero or negative value will result in a range of y values that are less than or equal to 3. Therefore, the range of the given equation is y ≤ 3.