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.

Question

A. Local minimum at x = 1; local maximum at x =-1; concave down on (0, ?); concave up on (-?, 0)
B. Local maximum at x = 1; local minimum at x =-1; concave up on (0, ?); concave down on (-?, 0)
C. Local maximum at x = 1; local minimum at x =-1; concave up on (-?, ?)
D. Local minimum at x = 1; local maximum at x =-1; concave up on (0, ?); concave down on (-?, 0)

Answer 1

Answer: D