Suppose the function  g(x) has a domain ofall real numbers except
x = −2
. The second derivative of g(x) is shownbelow.
g ''(x)=
(a) Give the intervals where Â
g(x)
is concave down. (Enter your answer using interval notation. Ifan answer does not exist, enter DNE.)
(b) Give the intervals where Â
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.)