What is the Domain and Range of the Radical Parent function

The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p). If the volume of a gas is 24 cubic centimeters when the pressure is 16 pounds, what is the volume under a pressure of 30 pounds?

The radical parent function is given by f(x) = √x, where the domain and range can be determined by examining the nature of the radical function.

To determine the domain, we need to consider which values of x are allowed in the function. In the case of the radical function, the radicand (the value inside the square root) must be greater than or equal to zero, since we cannot take the square root of a negative number. Therefore, the domain of the radical parent function is all non-negative real numbers, or x ≥ 0.

To determine the range, we need to find the possible output values of the function. Since the square root function always returns non-negative values, the range of the radical parent function is all non-negative real numbers, or y ≥ 0.

In summary, the domain of the radical parent function is x ≥ 0, and the range is y ≥ 0.