Use the graph of the funciton f(x) to locate the local extrema and identify the

Question

Use the graph of the funciton f(x) to locate the local extrema and identify the intervals where the function is concave up and concave down. A. Local minimum at x = 3; local maximum at x = -3; concave up on (- infinity, -3) and (3,infinity); concave down on (-3,3) B. Local minimum at x = 3; local maximum at x = -3; Concave down on (-inifinity, -3) and (3,infinity); concave up on (-3,3) C. Local minimum at x = 3; local maximum at x = -3; concave up on (0,infinity), Concave down on (-infinity, 0) D. Local minimum at x = 3; local maximum at x = 3, local maximum at x = -3; concave down on (0, infinity); concave up on (-infinity,0)

Explanation / Answer

Maximum at x=-3

Minimum at x=3

From the graph option 3 is correct

As graph is concave down on minus infinity to 0

Concave up on 0 to infinity

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