To determine if the ordered pairs represent a function, we need to check if each input (the first element of each ordered pair) corresponds to exactly one output (the second element of each ordered pair).
The ordered pairs given are:
- (1, 5)
- (2, 7)
- (3, 9)
- (4, 7)
Let's look at the first elements (inputs):
- 1 → 5
- 2 → 7
- 3 → 9
- 4 → 7
We see that each input (1, 2, 3, and 4) is unique and corresponds to a single output. The output '7' appears for two different inputs (2 and 4), but this does not violate the definition of a function, as the same output can be associated with multiple inputs.
Since each input value maps to exactly one output value, these ordered pairs do represent a function.
Conclusion: Yes, the ordered pairs represent a function.