Answer:
Over the interval [2, 4], the local minimum is -8.
Over the interval [3, 5], the local minimum is -8.
Over the interval [1,4], the local maximum is 0.
Explanation:
For the first option it is not a local minimum but rather a local maximum
In the second interval 3.4,-8 is the smallest value in that interval, so that's true
The same applies with the next interval
The fourth interval 1,4 has a local max at two spots; 2,0, 4,0 so that's true
and lastly in this interval 3,5 the reason this is false is because after x=4 the
graph continues and 4,0 is not a local max as the range ends at x=5