Given the following binary relations R on two sets, for each relation: Draw the arrow diagram...

Given the following binary relations R on two sets, for each relation:

Draw the arrow diagram of R.
Is R a function, and why?
If R is a function, determine if it is injective or surjective. Is the function bijective? Justify your answers.

1. R = {(a, 3), (c, 1)} on domain {a, b, c} and codomain {1, 2, 3}
1. R = {(1, a), (3, c), (2, b)} on domain {1, 2, 3} and codomain {a, b, c}
1. R = {(a, b), (b, c), (d, b), (c, c)} on domain {a, b, c, d} and codomain {a, b, c, d}
1. R = {(a, y), (b, z)} on domain {a, b} and codomain {x, y, z}

Expert Solution

Colby Messinger answered 2 years ago

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