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Graph: a smooth blue curve with open circles at approximately $$(-6, 5)$$ in the top-left and $$(11, 0)$$ in the top-right, dipping to a minimum near $$(-1.5, -2)$$ in the center-left and rising to a maximum near $$(7, 7)$$ in the center-right.
1. The problem involves analyzing a graph with key points: open circles at $$(-6, 5)$$ and $$(11, 0)$$, a minimum near $$(-1.5, -2)$$, and a maximum near $$(7, 7)$$.
2. Open circles indicate points where the function is not defined or the value is excluded.
3. The minimum and maximum points represent local extrema where the function changes direction.
4. From the graph description, the function decreases from $$(-6, 5)$$ to the minimum at $$(-1.5, -2)$$, then increases to the maximum at $$(7, 7)$$, and finally decreases towards $$(11, 0)$$.
5. This behavior suggests the function has at least one local minimum and one local maximum.
6. The open circles at $$(-6, 5)$$ and $$(11, 0)$$ imply the function approaches these points but does not include them.
7. Without an explicit function, we can summarize the graph's key features: domain excludes $$x=-6$$ and $$x=11$$, local minimum near $$x=-1.5$$ with value $$-2$$, and local maximum near $$x=7$$ with value $$7$$.
Final answer: The graph shows a function with open endpoints at $$(-6, 5)$$ and $$(11, 0)$$, a local minimum near $$(-1.5, -2)$$, and a local maximum near $$(7, 7)$$.