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Math 184 Group Work 3
Instructions: Please work on the following problems with your group. (This might just
be the people sitting near you in class.) These problems are meant to be a bit diFcult,
so please spend AT LEAST 15 minutes thinking about the assignment amongst your
group before coming to ask me for help. There is a page of hints at the end of the
assignment; if you have thought about a problem for AT LEAST 5 minutes and don’t
see how to do it, then take a look at the hints.
1. Sketch a graph of the function
y
=
f
(
x
) =
x
4

6
x
2
+ 9 = (
x
2

3)
2
. Your
graph should include
x

and
y

intercepts, intervals where
f
(
x
) is increas
ing, decreasing, concave up, concave down, and all local extrema and inFection
points. (Remember: you do this by making sign charts for
f
′
(
x
) and
f
′′
(
x
).)
1
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x
and
y
so that
x
+ 2
y
= 100 and the product of
x
and
y
is maximal.
2
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 Spring '09
 James

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