The local minimum on the interval [-3, 0] is -16, the local maximum on the interval [0, 3] is 4 and the local minimum on the interval [0, 3] is -3
What is a local minimum?
In a function, a point located at the local minimum is a point that is at a lower coordinate compared to the other neighboring points
What is a local maximum?
In a function, a point located at the local maximum is a point that is at a higher coordinate compared to the other neighboring points
How to determine the local minimum and the local maximum?
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In the first interval, [-3, 0], the lowest point in the interval is located at (-16, -1.5)
This means that the local minimum on the interval [-3, 0] is -16
In the second interval, [0, 3], the highest maximum in the interval is located at (4, 1)
This means that the local maximum on the interval [0, 3] is 4
In the second interval, [0, 3], the lowest minimum in the interval is located at (0, -3)
This means that the local minimum on the interval [0, 3] is -3
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