Question: Consider a Boolean function f . Assume that f in T 0 , f not in T 1 . What statements can be true for

Consider a Boolean function f. Assume that f in T0,f not in T1. What statements can be true for f?
a)f= const
b)f in L
c)f in M
d)f in S
I've been answered but I have a question. If I considered f(x)=0, that would be in T0 but not in T1 and would also be constant and linear. And if I had f(x, y), when f(0,1)= X (doesn't matter). Then if I increase x by 1, having f(1,1)=0, because f(x, y) not in T1. Because f(0,1)> f(1,1) that would mean it's not monotone. Maybe I'm just a little confused between the concepts. Any recommendation is greatly received.

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