Show that (a) if (0, 0, . . . , 0) = 0 and (1, 1, .

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Show that

(a) if φ(0, 0, . . . , 0) = 0 and φ(1, 1, . . . , 1) = 1, then minxi  φ(x)  maxxi

(b) φ(max(x, y))  max(φ(x),φ(y))

(c) φ(min(x, y))  min(φ(x),φ(y))

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