1. Let T = {(1, 2), (1, 3), (2, 5), (3, 6), (4, 7)}. T :...
1. Let T = {(1, 2), (1, 3), (2, 5), (3, 6), (4, 7)}. T : X ->
Y. X = {1, 2, 3, 4}, Y = {1, 2, 3, 4, 5, 6, 7}
a) Explain why T is or is not a function.
b) What is the domain of T?
c) What is the range of T?
d) Explain why T is or is not one-to one?
4. Let A = {0, 1, 2, 3, 4, 5, 6} and define a relation R...
4. Let A = {0, 1, 2, 3, 4, 5, 6} and define a relation R on A as
follows: R = {(a, a) | a ∈ A} ∪ {(0, 1),(0, 2),(1, 3),(2, 3),(2,
4),(2, 5),(3, 4),(4, 5),(4, 6)} Is R a partial ordering on A? Prove
or disprove.