Question

Use the set of ordered pairs to determine whether the relation is a one-to-one function.

{(23,8), (-4, -21),(-25, 11), (17, -14), (18.–24), (1, 10)}

O The relation is a one-to-one function.
O The relation is a function but is NOT one-to-one.
O The relation is NOT a function.

Answer 1

The correct answer is option 1. After checking both criteria for the relation to be a function and one-to-one, it is determined that the relation given by the provided ordered pairs is indeed a one-to-one function.

Step-by-step explanation:

To determine whether the relation given by the set of ordered pairs {(23,8), (-4, -21),(-25, 11), (17, -14), (18, – 24), (1, 10)} is a one-to-one function, we need to check two criteria:

1. Each input (x-value) maps to exactly one output (y-value) - which would make it a function.
2. No two different inputs map to the same output - which would make it one-to-one.

Examining the pairs, we see that each x-value in the list is unique, fulfilling the first criterion of a function. Similarly, each y-value is unique, fulfilling the second criterion for it to be a one-to-one function. Therefore, the correct option is:

O The relation is a one-to-one function.