Question

A function has the points (1,5), (3,6), (4, 10), and (2, y).

Which point, (2, y), would keep this a function?
(4,11)
(4,5)
(3,8)
(6,3)

Answer 1

To determine which point, (2, y), would keep this a function, we need to check if there are any repeated x-values in the given set of points.

Step-by-step explanation:

A function is a relation between two sets of values, where each input value (x) corresponds to exactly one output value (y). To determine which point, (2, y), would keep this a function, we need to check if there are any repeated x-values in the given set of points. The points are (1,5), (3,6), (4,10), and (2, y).

1. If the point is (4,11), there is no repeated x-value, so it would keep the function.
2. If the point is (4,5), there is no repeated x-value, so it would keep the function.
3. If the point is (3,8), there is no repeated x-value, so it would keep the function.
4. If the point is (6,3), there is no repeated x-value, so it would keep the function.

Based on the above analysis, (4,11), (4,5), (3,8), and (6,3) all would keep the function.