Answer
Domain: x ≥ 0
Range: y ≥ 0
OR
Range: f(x) ≥ 0
The graph of f(x) = ½(√x) is given below
Step-by-step explanation
The domain of a function refers to the values of the independent variable (x), where the dependent variable [y or f(x)] or the function has a corresponding real value. The domain is simply the values of x for which the output also exists. It is the region around the x-axis that the graph of the function spans.
As we know that negative numbers don't have a square root, the domain will be all the numbers that are greater than or equal to 0.
Domain: x ≥ 0
The range of a function refers to the region of values where the function can exist. It refers to the values that the dependent variable [y or f(x)] can take on. It is the region around the y-axis that the graph of the function spans.
As long as x remains equal to or greater than 0, then, the answer will be always equal to or greater than 0 too
Range: y ≥ 0
OR
Range: f(x) ≥ 0
The graph of the function is presented above under 'Answer'.
Hope this Helps!!!