Use the graph of the function f(x) to locate the local extrema and identify the intervals where the function is concave up and concave down.
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A) Local minimum at x = 1; local maximum at x =-1; concave up on (0, ) ; concave down on (- , 0)
B) Local minimum at x = 1; local maximum at x =-1; concave down on (0, ) ; concave up on (- 0)
C) Local maximum at x = 1; local minimum at x =-1; concave up on (- , )
D) Local maximum at x = 1; local minimum at x =-1; concave up on (0, ) ; concave down on (- , 0)
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