Determine inverse of a quadratic equation then determine domain and range

The video tutorial explains how to identify the domain of a function by checking for restrictions like division by zero or taking the square root of a negative number. It then describes finding the range by determining the inverse of the function, swapping variables, and solving for Y. The importance of considering both positive and negative square roots is highlighted. Finally, the domain of the inverse function is determined, which corresponds to the range of the original function, and a graphical representation is suggested.

Explain the significance of including plus or minus when introducing the square root.

What does a vertical reflection of a function imply about its domain?