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[3 Marks] (Multiple Choice Question) Consider the function f(x) = In(27 + 8x3) f(a) it is increasing on (-, 0) with no local extrema and

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[3 Marks] (Multiple Choice Question) Consider the function f(x) = In(27 + 8x3) f(a) it is increasing on (-, 0) with no local extrema and it is concave up on . (0 , / ) and concave down on ( - 24, -2: 0) and (/ , 00 ), with inflection points (0, In (27)) and 3 27 , In ( 81 ) ) f(2) it is increasing on (- , 0) and decreasing on (0, oo) with a local maximum O at (0, In (27)) and it is concave up on (0, /) and concave down on (, 00), with inflection point (, In (81)) f (z) it is increasing on ( - 27 O 2 , 00) with no local extrema and it is concave down on (0, / ) and concave up on ( / 27 4: 00 ), with inflection point ( 27 , In (81) ) f (2) it is decreasing on (- 27 2 -, 00) with no local extrema and it is concave down on (0, 3 / ) and concave up on (- , 0) and () , 00), with inflection points (0, In (27)) and (, In (81)) O None of the above

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