Given the following graph, state the intervals concave down

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angela107
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Homework Statement
Is this answer correct?
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Graph of a piecewise curve on x and y axes: a red curve falls from the upper left to a minimum near (-4, 2), rises to a peak at (-2, 4), falls to (0, 2), runs flat at y = 2 to x = 4, then rises linearly to a closed dot at (7, 5).
Typed text reading: (-2,0) because concave down means that the second derivative is negative, the first derivative/slope is decreasing. The only place this is happening is on the interval (-2,0)
 
I think is correct. The second derivative in ##x>0## equals ##0## and in ##-6<x<-2## the function is concave up.
## x=-2 ## would be the point of inflection.