3. Function in interval 1 (cont'd...)
INFO about this function at this interval
This function has:
• a LOCAL MAXIMUM [also absolute]
• an ABSOLUTE MINIMUM
ABSOLUTE MIN/MAX VALUE: These are also known as EXTREME VALUES
[global minimum and global maximum]. These are the max or min y values that are
not exactly restricted by a range or an interval.
LOCAL MAX/MIN: Usually a quot;maxquot; or quot;minquot; y value that are usually also
critical points of a function located in the range.
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5. Finally, the third interval at [0.5, 2.8] [25, 25]
Since the function is shown on a larger scale it shows there is:
• a local min at the same position
• an absolute max value.
**NOTE: These again, are not three different functions, but one function shown
in three ways and different intervals. This shows us that in certain intervals, only
some local and/or global y values are shown within that range.
With that said, the EXTREME VALUE THEOREM is applicable. This can occur
on any continuous function in a closed interval so that extreme values can be
found.
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