Answered

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Suppose that
f(x)=9x 2
âx 3
â3.
(A) Find all critical numbers of
f
. If there are no critical numbers, enter 'NONE'. Critical numbers
=
(B) Use interval notation to indicate where
f(x)
is increasing. Note: Use 'INF' for
[infinity]
, '-INF' for
â[infinity]
, and use 'U' for the union symbol. Increasing: (C) Use interval notation to indicate where
f(x)
is decreasing. Decreasing: (D) List the
x
-coordinates of all local maxima of
f
. If there are no local maxima, enter 'NONE'.
x
values of local maxima
=
(E) List the
x
-coordinates of all local minima of
f
. If there are no local minima, enter 'NONE'.
x
values of local minima
=
(F) Use interval notation to indicate where
f(x)
is concave up. Concave up: (G) Use interval notation to indicate where
f(x)
is concave down. Concave down: (H)List the
x
values of all inflection points of
f
. If there are no inflection points, enter 'NONE'.
x
values of inflection points
=
(I) Use all of the preceding information to sketch a graph of
f
. When you're finished, enter a "1" in the box below. Graph Complete:

Sagot :

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