please help answer the question in the photo below Let g(x) = ² + 12Ax² + B(+²+12) CA =B =C =D =E =F ==g"(x) = x(x² + E), where(+²+F)GFind the interval(s) on which the graph of the function is concave upward and those on which it is concave downward. Enter the values for the endpoint(s) in the appropriate blanks and DNE in any empty blanks.whereThe graph of the function is concave upward on the interval(s):0 (-00,00)O (-∞o, a)O (-00, a]O (a,00)O [a, 00)O (-00, a) U (b,00)O (-∞o, a] U [b, 00)O (-00, a) U (b, c)O (a, b) U (c, 00)O (a, b)O [a, b]O None of the above.The graph of the function is concave downward on the interval(s):0 (-00,00)0 (-00, d)0 (-00, d]d=f=h =0 (d, 00)O [d, 00)O (-∞0, d) U (f, 00)O (-00, d] U [f, 00)0 (-00, d) U (f, h)O (d. A) U (h, ∞0)O (d, f)O [d, f]O None of the above.symbolic formatting help

Answered: Image /qna-images/answer/48dfe01d-da74-4075-aaf9-61d3a7428ee1.jpg

Let g(x) = ² + 12 Ax² + B (x²+12) C A = B = C= = D = E = F = g"(x) = x(x² + E), where (+²+F)G where Find the interval(s) on which the graph of the function is concave upward and those on which it is concave downward. Enter the values for the The graph of the function is concave upward on the interval(s): 0 (-00,00) O (-∞o, a) O (-00, a] O (a,00) O [a, 00) O (-00, a) u (b,00) O (-∞o, a] U [b, 00) O (-00, a) U (b, c) O (a, b) U (c, 00) O (a, b) O [a, b] O None of the above. The graph of the function is concave downward on the interval(s): 0 (-00,00) 0 (-00, d) 0 (-00, d] 0 (d, oo) O [d, 00) O (-∞0, d) U (f, 00) O (-00, d] U [f, 00) 0 (-00, d) U (f, h) O (d, A) U (h, ∞0) O (d, f) O [d, f] O None of the above.