2. Let f:RR be defined as f(x)=infyCxy2. That is, f(x) is the minimum distance to a set C. (a) Evaluate and plot f(x) for C=[0,1] and for C={0,1}. (b) Which one yields a convex function? (c) Verify your findings using operations that preserve convexity. 2. Let f:RR be defined as f(x)=infyCxy2. That is, f(x) is the minimum distance to a set C. (a) Evaluate and plot f(x) for C=[0,1] and for C={0,1}. (b) Which one yields a convex function? (c) Verify your findings using operations that preserve convexity