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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.
Here we have the table:
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.
If you want to learn more about polynomial functions:
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