Choose the function that would correspond to this graph of F'.

Name: Choose the function that would correspond to this graph of F'.
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Question

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The graph of f'(x) is decreasing from x=0 to x=2 and increasing from x=2 to x=4. This means that the graph of f(x) is concave down from x=0 to x=2 and concave up from x=2 to x=4. Additionally, the graph of f(x) has a relative minimum at x=1 and a relative maximum at x=3. Option C is the only graph that satisfies all of these conditions.

Choose the Function That Would Correspond to This Graph of F