1.

In the following graph, state the absolute and the local maximum and minimum values of the function.

Answer»

Solution :x = 1, 4, 6are the POINTS of local maxima, and thelocal MAXIMUM values are` f(1) = 2, f(4) = 4 andf(6) = 3`.
x = 5, 7are the points of local MINIMA, and the local minimum values are` f(5) = 2, f(7) = 1` .
x = 2 is the point of absolute minima and the local minimum value isf(2) = 0.
x = 8is thepoint of absolute maxima and the absolute maximum value isf (4) = 5.


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