Question: I can't understand these two True or False questions, Can you please explain how to solve? A person with utility function U(x,y) = 5 +

I can't understand these two True or False questions,

Can you please explain how to solve?

  1. A person with utility function U(x,y) = 5 + y2 + 2x has nonconvex preferences. > True
  2. A person with utility function U(x,y) = 10 + y2 + x has convex preferences. > True

Why are they both true, and how do you determine convexity from a utility function?

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