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Shapes of Graphs and Secant Lines

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Question:
keywords on stream: critical, increasing, decreasing, concave, monotonicity. Calculate the slope of the line passing through the points and . For the function illustrated in this graph,
does there exist a number in the interval such that is the slope of the secant line passing through the points and ? Is your answer consistent with the statement of the Mean Value Theorem?

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In this solution, the shapes of graphs and secant lines are investigated. The solution is detailed and well presented in an attached Word document.

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