Consider the function below. (Round the answers to three decimal places. If you need to use -∞ or ∞, enter -INFINITY or INFINITY.)

f(x) = 2 + 2x² - x⁴

(a) Find the intervals of increase. (Enter the interval that contains smaller numbers first.)
( , ) ∪ ( , )
Find the intervals of decrease. (Enter the interval that contains smaller numbers first.)
( , ) ∪ ( , )
(b) Find the local minimum value.
Find the local maximum values.
(smaller x value)
(larger x value)
(c) Find the inflection points.
( , ) (smaller x value)
( , ) (larger x value)
Find the interval the function is concave up.
( , )
Find the intervals the function is concave down. (Enter the interval that contains smaller numbers first.)
( , ) ∪ ( , )
(d) Use this information to sketch the graph of the function. (Do this on paper. Your instructor may ask you to turn in this graph.)

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