Answer :

The two values a relative minimum is most likely to occur is

-1 and 1, 1 and 3  Option  B and C

This is further explained below.

Between which two values would a relative minimum most likely occur?

Generally, The most probable range for a relative minimum, as calculated using the relative minimum and maximum ideas, is between 1 and 3.

When the function is dropping, it has reached a relative minimum and will soon begin to rise. When the function is growing, it reaches its relative maximum and then begins to drop.

In conclusion, the function is growing between the intervals of -1 and 1, and then it begins decreasing, suggesting that a relative maximum is imminent.

The function is dropping through intervals 1 and 3, before beginning to grow and indicating that a relative minimum is imminent.

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Complete Question

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

x | -2 | -1 | 0 | 1 | 2 | 3

g(x) |-14| -2 | 0 |-4| -6| 2

Between which two values would a relative minimum most likely occur?

-2 and 0

-1 and 1

0 and 2

1 and 3