Answer:
We conclude that Neither A nor B represents the function.
Hence, the correct option is:
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:
