The graph of a function is given. Choose the answer that represents the graph of its derivative.
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Question

Quizplus · Accepted Answer

The derivative of the given function is negative when the original function is decreasing, and positive when the original function is increasing. This matches the shape of option B, where the derivative is negative for the left half of the graph and positive for the right half. Option A has a positive derivative for the entire graph, which is incorrect. Option C has a zero derivative for the entire graph, which is also incorrect. Option D has a derivative that is positive for both halves of the graph, which is not consistent with the original function.

The Graph of a Function Is Given