To determine which two ordered pairs to remove to leave a remaining set that is a function, we need to remember that a function cannot have two ordered pairs with the same first element (x-coordinate).
Let’s analyze the x-coordinates of the given ordered pairs:
- (-3, 1) → x = -3
- (5, 2) → x = 5
- (2, -3) → x = 2
- (3, 2) → x = 3
- (-5, 1) → x = -5
All x-coordinates are distinct (-3, 5, 2, 3, -5). This means that there are no duplicates, and thus, the set of ordered pairs is already a function.
Since there is no immediate need to remove any pairs for the set to qualify as a function, if we want to select any two pairs for removal, we can choose any two pairs.
For example, we could remove:
- (-3, 1)
- (5, 2)
This would still leave the ordered pairs (2, -3), (3, 2), and (-5, 1) which is a function since none of these ordered pairs share the same first coordinate.
In conclusion, you can remove any two pairs and the remaining set will still be a function.
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