Consider the function f(x) = 12x⁵ + 30x⁴ - 300x³ + 2. f(x) has inflection points at (reading from left to right) x = D, E, and F

Question

Consider the function f(x) = 12x⁵ + 30x⁴ - 300x³ + 2.
f(x) has inflection points at (reading from left to right) x = D, E, and F
where D is
and E is
and F is
For each of the following intervals, tell whether f(x) is concave up (type in CU) or concave down (type in CD).
(-∞, D):
[D, E]:
[E, F]:
[F, ∞):

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