Determine the intervals on which the following function is concave up or concave down. Identify any inflection points. f left parenthesis x right parenthesisequalsln left parenthesis 6 x squared plus 1 right parenthesis Question content area bottom Part 1 Determine the intervals on which the following functions are concave up or concave down. Select the correct choice​ and, if​ necessary, fill in the answer​ box(es) to complete your choice. A. The function is concave up on    enter your response here and concave down on    enter your response here. ​(Simplify your answers. Type your answers in interval notation. Use a comma to separate answers as needed. Use ascending​ order.) B. The function is concave down on    enter your response here and the function is never concave up. ​(Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed. Use ascending​ order.) C. The function is concave up on    enter your response here and the function is never concave down. ​(Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed. Use ascending​ order.) D. The function is never concave up nor concave down. Part 2 Locate any inflection points of f. Select the correct choice​ and, if​ necessary, fill in the answer box to complete your choice. A. An inflection point occurs at xequals    enter your response here. ​(Use a comma to separate answers as​ needed.) B. There are no inflection points for f. f left parenthesis x right parenthesisln left parenthesis 6 x squared plus 1 right parenthesisf left parenthesis x right parenthesisln left parenthesis 6 x squared plus 1 right parenthesisf left parenthesis x right parenthesisln left parenthesis 6 x squared plus 1 right parenthesisf left parenthesis x right parenthesisln left parenthesis 6 x squared plus 1 right parenthesisSelect the correct choice and, if necessary, fill in the answer box(es) to complete your choice.input field 5Select the correct choice and, if necessary, fill in the answer box to complete your choice.