Reference no: EM132184772
1. Suppose f:Z→ Z, with defined by f(x) = 3x2 + 3. Note that both the domain and the target are equal to Z, the set of all integers.
Explain using the definition of an onto function why the function f is or is not onto.
2. Consider the relation R on the set S = {1, 2, 3, 4} defined by
R = { (1,1), (1,3), (2, 1), (2,2), (3,3), (3, 4), (4,1), (4,3)}.
?a. Explain why R is or is not symmetric.
?b. Explain why R is or is not transitive.
3. Suppose A = {1, 2, 3, 4}. Let S and R be relations on A defined as follows:
?S = { (1, 1), (1, 3), (2, 3), (2,4), (3, 4), (4,1) }
?R = { (1, 4), (2, 2), (3, 2), (4, 2) }
?Write the set of ordered pairs that is S ο R.
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