Locating extrema Consider the graph of a function ƒ on the interval [-3, 3]. <IMAGE>
f. On what intervals (approximately) is f concave down?  

Verified step by step guidance

1. Identify the second derivative of the function f, denoted as f''(x), since concavity is determined by the sign of the second derivative.
2. Determine the critical points of f''(x) by setting f''(x) = 0 and solving for x. These points will help identify potential inflection points.
3. Analyze the sign of f''(x) in the intervals created by the critical points found in the previous step. Choose test points in each interval to see if f''(x) is positive or negative.
4. Identify the intervals where f''(x) < 0, as these intervals indicate where the function f is concave down.
5. Summarize the intervals of concavity based on the analysis, providing approximate values based on the test points and critical points.