Graphical Reasoning The figure shows two parts of the

Chapter 3, Problem 61

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Graphical Reasoning The figure shows two parts of the graph of a continuous differentiable function on The derivative is also continuous. To print an enlarged copy of the graph, select the MathGraph button. (a) Explain why must have at least one zero in (b) Explain why must also have at least one zero in the interval What are these zeros called? (c) Make a possible sketch of the function with one zero of on the interval (d) Make a possible sketch of the function with two zeros of on the interval (e) Were the conditions of continuity of and necessary to do parts (a) through (d)? Explain. y2x

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