27: The domain is
D( f ) = (−∞,−2) ∪ (−2,∞).
The second derivative is
![](gif6/ecc6cd2.gif)
Dividing points: The equation
f ′′(x) = 0 has solution
x = 1.
There are no points in D( f ) where the second
derivative does not exist.
Intervals of concavity will be
(−∞,−2),
(−2,1], and
[1,∞).
Determine concavity and points of inflection using a chart.
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Answer