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Suppose the function  g(x) has a domain of all real numbers except x = −2 . The second derivative...

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Question

Basic Math

Suppose the function  g(x) has a domain ofall real numbers except

x = −2

. The second derivative of g(x) is shownbelow.

g ''(x)=

(x−1)(x + 3)
(x +2)3

(a) Give the intervals where  

g(x)

is concave down. (Enter your answer using interval notation. Ifan answer does not exist, enter DNE.)



(b) Give the intervals where  

g(x)

is concave up. (Enter your answer using interval notation. If ananswer does not exist, enter DNE.)



(c) Find the x-coordinates of the inflection points for

g(x)

. (Enter your answers as a comma-separated list. If an answerdoes not exist, enter DNE.)

Answer & Explanation Solved by verified expert
4.1 Ratings (850 Votes)
point x2 is not    See Answer
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