Final answer:
The graph of f(x) = sin(1/2x) is a compressed sine wave with its first full period completing between x = 0 and x = 4.
Step-by-step explanation:
The function given is f(x) = sin(1/2x). To choose the graph of the function, we need to understand the properties of the sine function. The sine function oscillates between +1 and -1 every 2 radians. Hence, the graph of f(x) = sin(1/2x) will have a period of 4 radians.
Since the coefficient of x is 1/2, the graph will be compressed horizontally by a factor of 2. Therefore, the graph completes one full period between x = 0 and x = 4.
Based on these properties, the correct graph for the function would be a compresses sine wave with its first full period completing between x = 0 and x = 4.