# Yahoo Answers 04-09

- Author:
- Michael Brown

- Topic:
- Calculus, Curve Sketching

Consider the function below.
f(x) = 9 + 4x2 − x4
(a) Find the interval of increase. (Enter your answer using interval notation.)
Find the interval of decrease. (Enter your answer using interval notation.)
(b) Find the local minimum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
Find the local maximum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
(c) Find the inflection points.
(x, y) =
(smaller x-value)
(x, y) =
(larger x-value)
Find the interval where the graph is concave upward. (Enter your answer using interval notation.)
Find the interval where the graph is concave downward. (Enter your answer using interval notation.)
Thank you so much, and if you could show me how so I can use the same method for my other problems, I would greatly appreciate it. Thanks!

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