Question

The functions f(x) = x2 – 2 and g(x) = –x2 + 5 are shown on the graph. Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified? y > x2 – 2 y ≥ –x2 + 5

Answer 1

Make the graph of y=f(x) have a dotted boundary and shade it above.

Make the graph of y=g(x) have a solid boundary and shade it above.

The solution set is the region that is shaded by both graphs.