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

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Advance Math

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

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

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