Which set of ordered pairs in the form of (x, y) does not represent a function of x?
(1 point)
• {(1, 1.5), (2, 1.5), (3, 1.5), (4, 1.5)}
• «(0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5)}
• ((1, 1.5), (-1, 1.5), (2, 2.5), (-2, 2.5)}
• {(1, 1.5), (-1, -1.5), (2, 2.5), (-2, 2.5)}
The set of ordered pairs that does not represent a function of x is {(1, 1.5), (-1, -1.5), (2, 2.5), (-2, 2.5)}.
The set of ordered pairs that does not represent a function of x is:
• «(0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5)}
In a function, each input (x-value) should correspond to exactly one output (y-value). In this set, the input value of 1 is associated with two different output values (3.3 and 4.5), which violates the definition of a function.
To determine which set of ordered pairs does not represent a function of x, we need to check if there are any repeated x-values with different y-values.
Let's analyze each set to find the one that does not represent a function:
1) {(1, 1.5), (2, 1.5), (3, 1.5), (4, 1.5)}:
In this set, all x-values are unique, and they map to the same y-value (1.5). This is still a function because each x-value has a unique corresponding y-value.
2) {(0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5)}:
Here, we have a repeated x-value of 1, but with different y-values (3.3 and 4.5). This means that this set does not represent a function of x.
3) ((1, 1.5), (-1, 1.5), (2, 2.5), (-2, 2.5)}:
Again, we have repeated x-values of 1 and -2, but with the same y-values (1.5 and 2.5) for each. This set does represent a function of x.
4) {(1, 1.5), (-1, -1.5), (2, 2.5), (-2, 2.5)}:
In this set, all x-values are unique, and they map to different y-values. This means that each x-value has a unique corresponding y-value, so it represents a function of x.
Therefore, the set that does not represent a function of x is: {(0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5)}.