Question

Consider the function below. (Round the answers to three decimal places. If you need to use - or , enter -INFINITY or INFINITY.)
f(x) = 4 + 4x2 - 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.