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Which of the sets of ordered pairs represents a function? (5 points) A = {(1, −5), (8, −5), (8, 7), (2, 9)} B = {(7, −4), (7, −2), (6, −3), (−9, 5)} Only A Only B Both A and B Neither A nor B

Sagot :

Absor201idn

Answer:

We conclude that Neither A nor B represents the function.

Hence, the correct option is:

  • Neither A nor B

Step-by-step explanation:

A function relates an input to an output.

For example, a certain animal grows 30 cm each year. Thus, the height of the animal is associated with its age using the function

h (age) = age × 30

Therefore, if the age of the animal is 3 years, the height is:

h(3) = 3 × 10 = 90 cm

Set A

A = {(1, −5), (8, −5), (8, 7), (2, 9)}

Please check that there are duplicated inputs.

i.e. x = 8 is appeared twice.

Thus, set A does not represent the function because the function has repeated inputs or x-values. In other words, each input is not related to exactly one output.

Therefore, the set A of ordered pairs does not represent a function.

Set B

B = {(7, −4), (7, −2), (6, −3), (−9, 5)}

Please check that there are duplicated inputs.

i.e. x = 7 is appeared twice.

Thus, the set B does not represent the function because the function has repeated inputs or x-values. In other words, each input is not related to exactly one output.

Therefore, the set B of ordered pairs also does not represent a function.

Conclusion:

We conclude that Neither A nor B represents the function.

Hence, the correct option is:

  • Neither A nor B
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