This problem is Number 19 under Part F: Sets and Graphs in a Plane:
Consider the functions f_{1}(x) = median{−x, 2, x} and f_{2}(x) = max{x^2, x}. Show the following sets on a plane:
(a) {(x, y) | y ≥ f_{1}(x)}
(b) {(x, y) | y ≥ f_{2}(x)}
(c) {(x, y) | y = max{f_{1}(x), f_{2}(x)}}