Final answer:
The range of the function f(x) = (1/2)√x is all real numbers greater than or equal to 0 because the square root of any non-negative number is non-negative.
Step-by-step explanation:
The range of the function f(x) = (1/2)√x refers to the set of all possible output values the function can produce. Since the square root function is only defined for non-negative numbers, and the square root of any non-negative number is non-negative, we can conclude that the output of the function will also be non-negative. Furthermore, because the function includes a multiplier of 1/2, although this does not affect the sign of the output, it does mean that for every non-negative input, we get a non-negative output that is half as large. Therefore, the correct range for this function is all real numbers greater than or equal to 0, which corresponds to option (d).