Identify the range of the function .

To find the range of the function , we first need to identify the domain. The expression under the square root, , must be non-negative, so we solve , leading to .

Now, as increases from to , takes on values starting from to , and consequently, will range from down towards . Thus, the range of is .

This means that produces values that are zero or negative, making it a fun function to explore if you enjoy playing around with numbers that “sink” down below zero!