Question

The following table gives a partial set of values of a polynomial function.

Answer 1

Using the concepts of relative minimum and relative maximum, it is found that a relative minimum is most likely to occur between 1 and 3.

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• A relative minimum occurs when the function is decreasing, then it starts to increase.
• A relative maximum occurs when the function is increasing, then it starts to decrease.

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• Over the interval -2 and 0, the function is increasing the whole time, which means that a relative minimum is not likely to occur.
• Over the interval -1 and 1, the function is increasing, then it starts to decrease, which means that a relative maximum is likely to occur.
• Over the interval 0 and 2, the function is decreasing the whole time, which means that a relative minimum is not likely to occur.
• Over the interval 1 and 3, the function is decreasing, then it starts to increase, which means that a relative minimum is likely to occur. This is the correct option.

A similar problem is given at brainly.com/question/9839310