Let $g(x) = \int_0^x f(t)\,dt,$ where $f$ is the function whose graph is shown. Answer the following questions only on the interval $[0,10]$.

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1. At what values of $x$ does $g$ have a local maximum?
Answer (separate by commas): $x =$

2. At what values of $x$ does $g$ have a local minimum?
Answer (separate by commas): $x =$

3. At what value of $x$ does $g$ have an absolute maximum?
Answer: $x =$

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Note: You can click on the graph to enlarge the image.

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