Answer
From the graph, the following results can be derived:
a)There is no absolute maximum and absolute minimum point for the given function.
b)There is no local maximum and local minimum points for the given function.
Work Step by Step
a)Absolute maximum: The absolute maximum can be found by selecting the largest value of f from the following list:
The values of f at any local maxima of f in [a,b].
The value of f at each endpoint of [a,b]-that is, f(a) and f(b).
As the curve is disconnected there is no absolute maximum.
Absolute minimum: The absolute minimum can be found by selecting the smallest value of f from the following list:
3. The values of f at any local minima of f in [a,b].
4. The value of f at each endpoint of [a,b]-that is, f(a) and f(b).
As the curve is disconnected, there is no absolute minimum.
