Question

Which of the following values could be used for x and would cause the following relation to NOT be a function? {(3, -1), (-1, 5), (2, -4), (6, 2), (x, -9)} (1 point) Responses x = -4 x = -4 x = 6 x = 6 x = 0 x = 0 x = 5

Answer 1

In order for a relation to be a function, each input (or x-value) must correspond to exactly one output (or y-value). If an x-value in a list of ordered pairs has more than one output, then the relation is not a function.

Let's analyze the given pairs:

- (3, -1)
- (-1, 5)
- (2, -4)
- (6, 2)
- (x, -9)

The only x-values provided are 3, -1, 2, and 6. The x-value we need to examine is "x" in the final pair.

To determine which of the given options (x = -4, x = 6, x = 0, x = 5) would cause it to not be a function, we can look at the existing x-values:

- If \( x = 6 \), we already have (6, 2) in the relation, which means there would be two outputs for the input 6: -9 and 2. This would make the relation not a function.

The combinations for \( x \) being -4, 0, or 5 do not interfere with the x-values already present in the relation, and thus would keep the relation as a function.

Therefore, the value of \( x \) that would cause the relation to NOT be a function is:

**x = 6**.