Question

In which set of points is y a function of x?

A. {(1, -2), (0, 1), (1, 1), (1, 2)}
B. {(1, 2), (0, 1), (1, 2), (1, 1)}
C. {(2, 1), (0, 1), (1, 0), (2, 1)}
D. {2, 2), (1, 1), (0, 1), (-1, -1)}​

Answer 1

To determine if y is a function of x, we need to check if each x-value in the set has a unique corresponding y-value.

Step-by-step explanation:

To determine if y is a function of x, we need to check if each x-value in the set has a unique corresponding y-value. In other words, for each x, there can only be one y. Let's examine each set of points:

• A. {(1, -2), (0, 1), (1, 1), (1, 2)} - In this set, for x = 1 there are two different y-values (1 and 2), so y is not a function of x.
• B. {(1, 2), (0, 1), (1, 2), (1, 1)} - In this set, for x = 1 there are two different y-values (2 and 1), so y is not a function of x.
• C. {(2, 1), (0, 1), (1, 0), (2, 1)} - In this set, all the x-values have unique corresponding y-values, so y is a function of x.
• D. {(2, 2), (1, 1), (0, 1), (-1, -1)} - In this set, there are no repeated x-values, so y is a function of x.

Therefore, the sets C and D are the sets in which y is a function of x.