Question

C(n)=1/500 n^2-n +200 where is n is the number. does the cost have a minimum or maximum value explain

Answer 1

minimum

Explanation:

The sign of the leading coefficient of a quadratic tells you whether its graph opens upward or downward. Here, the sign of 1/500 is positive, so the graph opens upward. The function will have a minimum.

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Additional comment

For even-degree polynomials (quadratic = degree 2), the general shape of the curve will be ∪ or ∩. The latter will result from a negative leading coefficient.

For odd-degree polynomials, the general shape of the curve will be / or \. Again, the latter results from a negative leading coefficient.

These facts can help you identify the end-behavior of a polynomial function.