Continuous function - Conditions, Discontinuities, and Examples
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The graph of the derivative f' of a continuous function f is shown below. (Assume f' continues to 0.) a) On what interval is f increasing? b) On what interval is f decreasing? c) At what value(s) of x does/have a local maximum? At what value(s) of x does f have a local minimum? d) On what interval is f concave upward? On what interval is f concave downward? e) What are the x-coordinate(s) of the inflection point(s) of f?
The graph of the derivative f' of a continuous function f is shown below. (Assume f' continues to 0.) a) On what interval is f increasing? b) On what interval is f decreasing? c) At what value(s) of x does/have a local maximum? At what value(s) of x does f have a local minimum? d) On what interval is f concave upward? On what interval is f concave downward? e) What are the x-coordinate(s) of the inflection point(s) of f?
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The graph of the derivative f' of a continuous function f is shown below. (Assume f' continues to 0.) a) On what interval is f increasing? b) On what interval is f decreasing? c) At what value(s) of x does/have a local maximum? At what value(s) of x does f have a local minimum? d) On what interval is f concave upward? On what interval is f concave downward? e) What are the x-coordinate(s) of the inflection point(s) of f?
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