maximum value and minimum value
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We will have an absolute maximum (or minimum) at x=c provided f(c) is the largest (or smallest) value that the function will ever take on the domain that we are working on. Also, when we say the “domain we are working on” this simply means the range of x 's that we have chosen to work with for a given problem
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The value f (c) is called the maximum value of f. A function f has an absolute minimum (or global minimum) at c if f (c) ≤ f (x) for all x in its domain. Such a value f (c) is called the minimum value of f. The maximum and minimum values of f are called the extreme values of f.
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