To determine if the given set of points in Table 1 represents a function that is invertible, we need to check if the relationship between \( x \) and \( y \) is one-to-one. A function is one-to-one (and therefore invertible) if each output \( y \) corresponds to exactly one input \( x \).
Given the pairs:
- \((-2, 2)\)
- \((-1, 1)\)
- \((0, 0)\)
- \((1, -2)\)
- \((2, -1)\)
We can observe the outputs (or \( y \) values):
- For \( y = 2 \), \( x = -2 \)
- For \( y = 1 \), \( x = -1 \)
- For \( y = 0 \), \( x = 0 \)
- For \( y = -2 \), \( x = 1 \)
- For \( y = -1 \), \( x = 2 \)
Each output \( y \) value is unique and corresponds to a single input \( x \) value. Therefore, the function defined by these points is one-to-one.
Since the function is one-to-one, it has an inverse. Thus, based on the information provided in Table 1, we can conclude that the relationship between \( x \) and \( y \) is invertible.