6. Find all absolute and relative extrema of the function g(x)=x3−x on the interval [−1,2]. Give your answers as points
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6. Find all absolute and relative extrema of the function g(x)=x3−x on the interval [−1,2]. Give your answers as points
6. Find all absolute and relative extrema of the function g(x)=x3−x on the interval [−1,2]. Give your answers as points on the graph of g, with the x-coordinate stated as an exact answer, but using a decimal approximation for the y-coordinate, rounded to four decimal places. For example, if a relative minimum occurred at a critical number 25, your answer would include, "Relative minimum point: (25,0.2795). [Note: 5/2 is not a critical number of g! ] Show your work clearly to justify each part of your answer. ( 7 pts.)
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