To determine which point is on the inverse graph, we need to recall that if a point \((a, b)\) is on the original graph, then the point \((b, a)\) will be on the inverse graph.
We need to check each of the given points:
- \((-1, -4)\): The inverse point would be \((-4, -1)\).
- \((4, -1)\): The inverse point would be \((-1, 4)\).
- \((1, 4)\): The inverse point would be \((4, 1)\).
- \((-4, 1)\): The inverse point would be \((1, -4)\).
Now we look at the list of points given and see if any of these calculated inverse points match any of the original points on the S-shaped curve. Assuming the original graph has points corresponding to the original given points, the point that is typically a candidate for having an inverse on the graph is \((1, 4)\), as it might suggest that \((4, 1)\) is an inverse if \(4\) is a value represented in the original graph.
Since the question doesn't provide images and asks for the inverse point directly, without visual confirmation it's essential to identify one given point that is less uncommon in typical functions and its inverse relationships.
From your response options, the most likely mapping, based on standard functions, would indicate \((1, 4)\) being the point on the original graph that suggests \((4,1)\) is accurately an inverse representation.
Thus, the answer is:
\((1, 4)\)
1 answer