Which of the relations given by the following sets of ordered pairs is a function? a. { (1, 1), (1, 3), (1, 5), (1, 7), (1, 9) }b. { (-2, 1), (7, 5), (-4,0), (3,1), (0,-6) }c. { (1,2), (2,3), (3,4), (3,3), (2,2), (1,1) }d. { (2, - 7), (6,5), (-3,9), (2,0), (-5,3) }

Option B) { (-2, 1), (7, 5), (-4,0), (3,1), (0,-6) } is correct.

Step-by-step explanation:

Consider the provided information.

According to function definition: a relationship between a set of inputs and a set of possible outputs in which each input is connected to exactly one output.

Now consider the provided options:

Option A) { (1, 1), (1, 3), (1, 5), (1, 7), (1, 9) }

Here, 1 is not connected to exactly one output.

For example 1 is connected with 1, 3, 5, 7 and 9.

Thus, it is not the correct option.

Option B) { (-2, 1), (7, 5), (-4,0), (3,1), (0,-6) }

Here, each input is connected to exactly one output.

Thus, option B is correct.

Option C) { (1,2), (2,3), (3,4), (3,3), (2,2), (1,1) }

Here, 1, 2 and 3 are not connected to exactly one output.

For example 1 is connected with 1, and 2, similarly 2 is connected with 2 and 3.

Thus, it is not the correct option.

Option D) { (2, - 7), (6,5), (-3,9), (2,0), (-5,3) }

Here, 2 is not connected to exactly one output.

2 is connected with - 7, and 0.

Thus, it is not the correct option.

Hence, Option B) { (-2, 1), (7, 5), (-4,0), (3,1), (0,-6) } is correct.