Some sample problems from 12.1

Problem 3: there are four different functions from \(\{a,b\}\) to \(\{0,1\}\). List them.

Problem 5: give an example of a relation from \(\{a,b,c,d,e\}\) to \(\{d,e\}\) that is not a function.

Problem 9. Consider the set \(\{(x^2,x):x\in\mathbb{R}\}\). Is this a function from \(\mathbb{R}\to\mathbb{R}\)?

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