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

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:

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).