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solve for each please i really need help if u want to help me with my test and i get an a or a b i will give u 500 dollars

solve for each please i really need help if u want to help me with my test and i get-example-1
User Eminsenay
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1 Answer

5 votes

Answer:

The relation is not a function

The domain is {1, 2, 3}

The range is {3, 4, 5}

Explanation:

A relation of a set of ordered pairs x and y is a function if

  • Every x has only one value of y
  • x appears once in ordered pairs

Examples:

  • The relation {(1, 2), (-2, 3), (4, 5)} is a function because every x has only one value of y (x = 1 has y = 2, x = -2 has y = 3, x = 4 has y = 5)
  • The relation {(1, 2), (-2, 3), (1, 5)} is not a function because one x has two values of y (x = 1 has values of y = 2 and 5)
  • The domain is the set of values of x
  • The range is the set of values of y

Let us solve the question

∵ The relation = {(1, 3), (2, 3), (3, 4), (2, 5)}

∵ x = 1 has y = 3

x = 2 has y = 3

∵ x = 3 has y = 4

x = 2 has y = 5

→ One x appears twice in the ordered pairs

x = 2 has y = 3 and 5

The relation is not a function because one x has two values of y

∵ The domain is the set of values of x

The domain = {1, 2, 3}

∵ The range is the set of values of y

The range = {3, 4, 5}

User Adeena
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