for g(x)=x^2+2x+2, what is the function' s minimum or maximum value?

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Since this function is a parabola, the minimum value will be at the vertex

The x value of the vertex is found using -b/2a

= -2/2 = -1

Now we plug that into the function

g(-1) = -1^2 + 2(-1) + 2 = 1 - 2 + 2 = 1

Therefore, the function's minimum is 1

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