How to Find a Maximum
The Maximum Value of the Function Is M = a + |B|. This Maximum Value Occurs Whenever Sin X = 1 or Cos X = 1. the Minimum Value of the Function Is M = a ‐ |B|...
How do you find the maximum and minimum of completing the square?
Minimum or maximum
One application of completing the square is finding the maximum or minimum value of the function, and when it occurs. From above x2 + 6x + 7 = (x + 3)2 – 2 As (x + 3)2 ≥ 0, (x + 3)2 – 2 ≥ –2,so the minimum value of x2 + 6x + 7 is –2 This occurs when (x + 3)2 = 0, that is when x = –3.
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How do you know if its a maximum or minimum?
If both are smaller than f(x), then it is a maximum. If both are larger than f(x), then it is a minimum. If one is smaller and the other is larger than f(x), then it is an inflection point.
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