of the Square Root of a Quadratic Function

Find the domain of a square root function whose radicand is a quadratic expression follwoing a step by step process. As many examples as needed to learn the steps may be generated. There is a graph at the bottom of the page that helps you further understand graphically the solution to the question shown below. You may want to first review solving quadratic inequalities on which is based the present worksheet.

Step by step solution
Below are shown the graphs of the given function (blue) and its radicand (green) which is a quadratic expression and its graph is a parabola. The graph of the function exist only for values of $x$ for which the radicand is positive (green graph above $x$-axis). (Change scales if necessary) |