how do you determine relative extrema given a piecewise function?

Question

amistre64 · Answer

do it in pieces of course ...

anonymous · Answer

True! :) In one instance the answer is a relative maximum but in another we found that the answer was an absolute maximum but not a closed interval.  I don't understand.  I thought the interval had to be closed before an absolute extrema could occur.

amistre64 · Answer

extrema care about values of y,  if there is an x value that is omited from the domain ... there realy isnt much you can do for it is there

amistre64 · Answer

can you give the piecewise function?

amistre64 · Answer

im thinking something like:

f(x) = x^2  , from -5 to 0
      = 10  , at x=0
      = x^2 from 0 to 5

the extrema is of course 25 ... lets say from -3 to 3 :)

the extrema would be at y=10

anonymous · Answer

$$f(x) = \left\{ 4-x ^{2}, x \le0 \right\}$$
$$-2x, x >0$$

amistre64 · Answer

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