For the following function, a) give the coordinates of any critical points and classify each...

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Calculus

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For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relative minimum, or neither; b) identify intervals where the function is increasing or decreasing; c) give the coordinates of any points of inflection; d) identify intervals where the function is concave up or concave down, and e) sketch the graph.g(x)=x-12x +45x+7a) What are the coordinates of the relative extrema? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.A. The relative minimum point(s) is/are and the relative maximum point(s) is/areB. The relative maximum point(s) is/are and there are no relative minimum point(s).C. The relative minimum point(s) is/are and there are no relative maximum point(s).D. There are no relative minimum points and there are no relative maximum points.

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