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 wher up or concave down and e sketch the graph h x 2x 24x a 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 OA The relative minimum point s is are and the relative maximum point s is are Simplify your answers Use integers or fractions for any numbers in the expression Type an ordered pair Use a comma to separate answers as needed OB The relative maximum point s is are and there are no relative minimum point s Simplify your answer Use integers or fractions for any numbers in the expression Type an ordered pair Use a comma to separate answers as needed and there are no relative maximum point s OC The relative minimum point s is are Simplify your answer Use integers or fractions for any numbers in the expression Type an ordered pair Use a comma to separate answers as needed OD There are no relative minimum points and there are no relative maximum points b On what interval s is h increasing or decreasing Select the correct choice below and if necessary fill in the answer box es to complete your choice A The function is increasing on The function is decreasing on Simplify your answers Type your answers in interval notation Use a comma to separate answers as needed OB The function is decreasing on The function is never increasing Simplify your answer Type your answer in interval notation Use a comma to separate answers as needed OC The function is increasing on The function is never decreasing Simplify your answer Type your answer in interval notation Use a comma to separate answers as needed OD The function is never increasing or decreasing c What are the coordinates of the inflection point s Select the correct choice below and if necessary fill in the answer box to complete your choice OA The coordinates of the inflection point s are Simplify your answer Type an ordered pair Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed OB There are no inflection points d On what interval s is h concave up or concave down Select the correct choice below and fill in the answer box es to complete your choice Simplify your answer Type your answer in interval notation Use a comma to separate answers as needed OA The function is concave up on and concave down on OB The function is concave up on OC The function is concave down on GIIB and is never concave down and is never concave up