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The set of ordered pairs (1,7), (3, 8), (3,6), (6,5), (2, 11), (1.4) represents a relation.

a. Make an arrow diagram that represents the relation.
b. Is the relation a function? Explain.

1 Answer

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Final answer:

a. An arrow diagram can be drawn to represent the relation. b. No, the relation is not a function.

Step-by-step explanation:

a. Arrow Diagram:

An arrow diagram represents a relation by connecting each input value to its corresponding output value with an arrow. In this case, we have the ordered pairs (1,7), (3,8), (3,6), (6,5), (2,11), (1,4). We can draw arrows from the input values to the output values:

  • (1,7) -> (7)
  • (3,8) -> (8)
  • (3,6) -> (6)
  • (6,5) -> (5)
  • (2,11) -> (11)
  • (1,4) -> (4)

b. Is the relation a function?

No, the relation is not a function because the input value 3 has two different output values, 8 and 6. In a function, each input value must have a unique output value.

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