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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 points) −2 and 0 0 and 2 −1 and 1 1 and 3

Sagot :

From -1 to 0, the function goes decreases, and from 0 to 1 the function goes increases. Then we will have the minimum between -1 and 1.

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

Here we have the table:

  • x: -2, -1, 0, 1, 2, 3
  • g(x): 14, 2, 0, 4, 6, -2

You can see that:

g(-1) = 2

g(0) = 0

So the function goes downwards from x = -1 to x = 0.

g(1) = 4

So the function goes upwards between 0 and 4.

Then, from -1 to 0, the function goes decreases, and from 0 to 1 the function goes increases. Then we will have the minimum between -1 and 1.

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