Curvature of some functions. Determine the curvature of the functions below. For affine functions (which are both convex and concave), select only the ‘affine’ box. If a function is neither convex nor concave, select ‘neither’.
(a) f(x) = min{2, x, √x}, with dom f = R +
convex concave affine neither
(b) f(x) = x 3, with dom f = R
convex concave affine neither
(c) f(x, y) = p x min{y, 2}, with dom f = R2 +
convex concave affine neither
(d) f(x, y) = (√x + √y) 2, with dom f = R2 +
convex concave affine neither