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Chapter 3: Q. 82 (page 311)
determine the global extrema of function
On I, f has a global maximum at x=0 and a global minimum at
On J, f has no global minimum atand has no global maximum
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Sketch careful, labeled graphs of each function f in Exercises 63鈥�82 by hand, without consulting a calculator or graphing utility. As part of your work, make sign charts for the signs, roots, and undefined points of and examine any relevant limits so that you can describe all key points and behaviors of f.
Sketch careful, labeled graphs of each function f in Exercises 63鈥�82 by hand, without consulting a calculator or graphing utility. As part of your work, make sign charts for the signs, roots, and undefined points of and examine any relevant limits so that you can describe all key points and behaviors of f.
Sketch the graph of a function f with the following properties:
f is continuous and defined on R;
f(0) = 5;
f(鈭�2) = 鈭�3 and f '(鈭�2) = 0;
f '(1) does not exist;
f' is positive only on (鈭�2, 1).
Find the relationship between between the functions.
Restate Rolle鈥檚 Theorem so that its conclusion has to do with tangent lines.
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