Mark M. answered • 10/23/16

Math Tutor--High School/College levels

^{2}> -2, first sketch the graph of x + y

^{2}= -2. This is a parabola opening to the left with vertex (-2,0). Draw the parabola as dotted to indicate that the points on the parabola do not satisfy the inequality. Next, choose a point not on the parabola and plug it into the inequality. For example, if we pick (-3,0) and plug in, we get -3 > -2, which is obviously false. So, (-3,0) is not in the domain of the function. Since the point (-3,0) is "inside" the parabola and is not in the domain, we can conclude that no points inside the curve are in the domain and that all points "outside" the curve are in the domain. Shade in the region outside of the dotted parabola. That region is the graph of the domain.