Final answer:
The true statements about the local maximums and minimums for the given function are: Over the interval [1, 3], the local minimum is 0; Over the interval [2, 4], the local minimum is -8; and Over the interval [3, 5], the local maximum is 0.
Step-by-step explanation:
The graphed function is not provided, so we cannot analyze it to find the local maximum and local minimum directly. However, based on the given statements, we can make the following conclusions:
- Over the interval [1, 3], the local minimum is 0.
- Over the interval [2, 4], the local minimum is -8.
- Over the interval [3, 5], the local maximum is 0.
So, the true statements about the local maximums and minimums for the given function are:
- Over the interval [1, 3], the local minimum is 0.
- Over the interval [2, 4], the local minimum is -8.
- Over the interval [3, 5], the local maximum is 0.