HOW DO YOU SEE IT The figure shows two parts of the graph of a continuous differentiable

Chapter 4, Problem 70

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HOW DO YOU SEE IT? The figure shows two parts of the graph of a continuous differentiable function fon [-10, 4]. The derivative f' is also continuous. To print an enlarged copy of the graph, go to MathGraphs.com.

(a) Explain why f must have at least one zero in [-10, 4]

(b) Explain why f' must also have at least one zero in the interval [-10, 4]. What are these zeros called?

(c) Make a possible sketch of the function with one zero of f' on the interval [-10, 4].

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