Part (a).
Given the ordered pairs:
{(-4, 7), (-1, 5), (1, -9), (3, -5), (4,
Let's determine in the set of ordered pairs define a one-to one function.
A one-to-one function can be said to be a function where the each value of x must be paired to one unique value of y.
This means one value of y must not be repeated in the set.
Here, we can see that the set of ordered pairs is not completer.
Therefore, we cannot determine if the set defines a one-to-one function.
Part (b).
Given the set:
{(-8, 7), (1, 3), (9, 7), (-3, -4)}
Here, there is more than one x-value for the y-value (7),
Therefore, the set of ordered pairs does NOT define a one-to-one function.
Part (c).
Given:
{(1, 2), (3, 4), (5, 6), (7, 8), (9, 10)}
In this set, we can see each x-value is paired to one unique y-value.
Therefore, the set defines a one-to-one function.
ANSWER:
• (a). Cannot be determined
,
• (b). Not one-to-one
,
• (c). One-to-one