In: Math
. Given: ?(?) = 8/ (4−?^2) and ?(?) = sin(?) − ?.
Answer the following for each of the functions given.
(a) Find the domain
(b) Find the intercept(s)
(c) Find the asymoptote(s)
(d) Find the possible critical and inflection
numbers
(e) Construct a sign table for Hint for (f(x), f'(x),
and f'' (x) and show step by step
(f) Find the intervals in which the function is
increasing/decreasing
(g) Find the intervals in which the function is
concave up/down
(h) Find the relative extrema and inflection
points
(i) Sketch the graph of the function