a. Identify the function's local extreme values i…

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Problem 51

a. Identify the function's local extreme values in the given domain, and say where they occur. b. Which of the extreme values, if any, are absolute? c. Support your findings with a graphing calculator or computer grapher. $$ g(x)=\frac{x-2}{x^{2}-1}, \quad 0 \leq x<1 $$

Answer

(a) local minimum at $x=2-\sqrt{3}(b)$ absolute minimum at $x=2$ (c) See the graph

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