|
Check out this graph:
The tops of the mountains are
relative
maximums because they are the highest points in their little
neighborhoods (relative to the
points right around them):
Suppose you're in a roomful of people
(like your classroom). Find the tallest person there. (It's
usually a guy.) He is the relative max of that room.
Specifically, he's the tallest relative to the
people around him.
But, what if you took that guy to an NBA convention? There'd be
lots of guys who beat him.
Look back at the graph...
(Relative extrema (maxes and mins) are
sometimes called local extrema.)
Other than just pointing these things
out on the graph, we have a very specific way to write them out.
Officially, for this graph, we'd say:
f
has a relative max of
2
at x
=
-3.
f
has a relative max of
1
at x
= 2.
The max is, actually, the
height... the
x
guy is where the
max occurs.
So, saying that the
max
is (-3,
2)
would be unclear and not really correct.
Continued on the
next
page
|
The printing
and distribution and/or downloading of these lessons is strictly
prohibited. |
|
