Question: Consider the equation below. f ( x ) = 4 x 3 + 6 x 2 -24 x + 7 (a) Find the intervals on

Consider the equation below.

f ( x ) = 4 x ³ + 6 x ²-24 x + 7

(a) Find the intervals on which f is increasing. (Enter your answer using interval notation.)
Find the interval on which f is decreasing. (Enter your answer using interval notation.)
(b) Find the local minimum and maximum values of f .
(c) Find the inflection point.

( x , y ) =

Find the interval on which f is concave up. (Enter your answer using interval notation.)
Find the interval on which f is concave down. (Enter your answer using interval notation.)

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