Answer:
(-5, -7) — see attached
Explanation:
You want to identify the absolute minimum on the given graph.
Absolute minimum
The absolute minimum is the lowest (most negative) point on the graph. Working upward from the bottom, it will be the first point you encounter.
Here, the absolute minimum is the point (-5, -7). The minimum value is -7.
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Additional comment
The low spot at (-1, 1) is a relative minimum. The graph goes up on either side of that point. Here, there are y-values lower than 1, so it is not an absolute minimum.
Some graphs may have an absolute minimum that is also a relative minimum.
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