1. Which set of ordered pairs in the form of (x,y) does NOT represent a function of x? (1 point)
A. {(-1,2), (3,-2), (0,1), (5,2)}
B. {(-1,2), (3,2), (-2,2), (0,2)}
C. {(-1,2), (3,-2), (0,1), (3,5)}
D. {(-1,2), (2,3), (3,-2), (-2,0)}
I think it's D, since I graph it , and I made the vertical line test, I'm not sure but it's the one that touches the line more than once.
In order for a set of ordered pairs to represent a function, each x-value must be paired with only one y-value.
Looking at the options:
A. {(-1,2), (3,-2), (0,1), (5,2)}
The x-values are distinct (no two pairs have the same x-value), so this set does represent a function.
B. {(-1,2), (3,2), (-2,2), (0,2)}
Here, the x-values (-1, 3, -2, 0) are all paired with the same y-value (2). This violates the condition for a function.
C. {(-1,2), (3,-2), (0,1), (3,5)}
Both -1 and 3 have multiple y-values associated with them, so this set does not represent a function.
D. {(-1,2), (2,3), (3,-2), (-2,0)}
All x-values are distinct, so this set represents a function as well.
Therefore, the set that does NOT represent a function of x is option B.
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 in the set. In a function, each input (x-value) must have exactly one output (y-value).
Let's go through each set of ordered pairs:
A. {(-1,2), (3,-2), (0,1), (5,2)}
There are no repeated x-values in this set. Each x-value corresponds to a unique y-value. So, this set represents a function of x.
B. {(-1,2), (3,2), (-2,2), (0,2)}
In this set, all the y-values are the same (2). This means that multiple x-values are mapped to the same y-value. So, this set does not represent a function of x.
C. {(-1,2), (3,-2), (0,1), (3,5)}
Here, we have a repeated x-value of 3. This violates the definition of a function. So, this set does not represent a function of x.
D. {(-1,2), (2,3), (3,-2), (-2,0)}
There are no repeated x-values in this set. Each x-value corresponds to a unique y-value. Thus, this set represents a function of x.
In conclusion, the set of ordered pairs that does NOT represent a function of x is B. {(-1,2), (3,2), (-2,2), (0,2)}.
if a single x-value maps to more than one y-value, then it is not a function.
See any like that?