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.
Step-by-step explanation:
The true statements are:
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.
Lets discuss each option one by one:
Over the interval [1, 3], the local minimum is 0
This is a false statement. Look at the graph. The minimum point given is (3.4,-8). Therefore the local minimum is -8 not 0
Over the interval [2, 4], the local minimum is –8.
This statement is true because the given minimum point is(3.4, -8). Thus the local minimum is -8 which is true
Over the interval [3, 5], the local minimum is –8.
According to the given minimum point, the local minimum is -8 which is true
Over the interval [1, 4], the local maximum is 0.
Look at the graph. The maximum point given is (2,0). Thus this statement is true because local maximum is 0.
Over the interval [3, 5], the local maximum is 0.
This is a false statement because there is no maximum point
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