We are shown coordinates on the graph:
(0,0)
(0.6, -8)
(2,0)
( 3.4, -8)
(4,0)
From that shown graph, we can clearly see that over the interval interval  [-1, 1] lowest value of y is -8.
Therefore, Over the interval [-1, 1], the local minimum is –8. statement is applicable.
From that shown graph, we can clearly see that over the interval interval  [2, 4] lowest value of y is -8.
Therefore, Over the interval [2, 4], the local minimum is –8. statement is applicable.
From that shown graph, we can clearly see that over the interval interval  [3, 5] lowest value of y is -8.
Therefore, Over the interval [3, 5], the local minimum is –8. statement is applicable.
From that shown graph, we can clearly see that over the interval interval [1, 4] Â highest value of y is 0.
Therefore, Over the interval [1, 4], the local maximum is 0. Â statement is applicable.