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Inflection Points

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Consider the function f(x)=12x^5+75x^4 -120x^3+1. (It is 12x^5 + 75x^4 -120x^3 + 2).

f(x) has inflection points at (reading from left to right) x=D, E, and F

Where D is _______
Where E is_______
Where F is________

For each of the following intervals, tell whether f(x) is concave up (type in CU) or concave down (type in CD).

(negative infinity,D]: ______
[D,E]: _______
[E,F]: _______
[F,infinity): _______

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This solution shows how to find the inflection ponits of the function.

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