Intervals, finding concave up and down

Calculus
Tutor: None Selected Time limit: 1 Day

Consider the equation below.

f(x) = 4x3 + 24x2 − 384x + 1
(a) Give the intervals where 
f(x)
 is concave up. (Enter your answer using interval notation. If an answer does not exist, enter DNE.)
(b) Give the intervals where 
f(x)
 is concave down. (Enter your answer using interval notation. If an answer does not exist, enter DNE.)
(c) Find the x-coordinates of the inflection points for 
f(x)
. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
Oct 22nd, 2015

Thank you for the opportunity to help you with your question!

a)

Concave up from (-8,infinity]

b) Concave down from (-infinity,4]

c) x= -2

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 22nd, 2015

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