which set of order pairs in the form of (x,y) does not represented a function of x
{(1,1.5),(2,1.5),(3,1.5),(4,1.5)}
{(0,1.5),(2,2.5),(1,4.5)}
{(1,1.5),(-1,1.5),(-2,2.5)}
{(1,1.5),(-1,1.5),(-2,2.5)}
The set of order pairs that does not represent a function of x is {(1,1.5),(-1,1.5),(-2,2.5)}. In this set, the x-values -1 and -2 both map to the y-value 1.5, which violates the definition of a function where each x-value should only have one corresponding y-value.
The set of ordered pairs that does not represent a function of x is:
{(0,1.5),(2,2.5),(1,4.5)}
To determine if a set of ordered pairs represents a function of x, we need to check if each x-value is associated with exactly one y-value. If any x-value is associated with more than one y-value, then the set does not represent a function of x.
Let's analyze each set of ordered pairs:
1) {(1,1.5),(2,1.5),(3,1.5),(4,1.5)}
In this set, the x-values (1, 2, 3, 4) are all associated with the same y-value, 1.5. This means that each x-value is associated with only one y-value, so this set represents a function of x.
2) {(0,1.5),(2,2.5),(1,4.5)}
In this set, the x-values (0, 2, 1) are associated with different y-values (1.5, 2.5, 4.5). This means that the x-value 1 is associated with both 1.5 and 4.5. Hence, this set does not represent a function of x.
3) {(1,1.5),(-1,1.5),(-2,2.5)}
In this set, the x-values (1, -1, -2) are associated with different y-values (1.5, 1.5, 2.5). The x-value -1 is associated with both 1.5, hence this set does not represent a function of x.
4) {(1,1.5),(-1,1.5),(-2,2.5)}
This set is an exact duplicate of the previous set we analyzed in number 3. As explained above, it does not represent a function of x.
To summarize, sets 2, 3, and 4 do not represent a function of x because they contain at least one x-value associated with more than one y-value.