Final answer:
The upper bound for the function f(x) = sin(x) + 2 is 3 and the lower bound is 1.
Step-by-step explanation:
The function f(x) = sin(x) + 2 can be graphed as a sinusoidal function. The sine function oscillates between +1 and -1 every 2 radians. Adding 2 to the sine function shifts the graph upwards by 2 units, so the upper bound of the function would be 2 + 1 = 3 and the lower bound would be -1 + 2 = 1.