Answer:
1. 0
2. 0
3. -32
Explanation:
To know the local minimum at the interval [-3, -1] we need to find the lowest point of the graph when x is between -3 and -1, so:
Then, the y-coordinate of the minimum point in that interval is 0, so over the interval [-3, -1], the local minimum is 0.
In the same way, over the interval [-1, 0], the local minimum is 0, and over the interval [0, 3] the local minimum is -32.
So, the answers are:
1. 0
2. 0
3. -32
