Consider the function f(3) = 2x + 7x^-1 . For this function there are four important intervals: (-∞, A], [A, B),(B,C], and [C,∞)

Question

Consider the function f(3) = 2x + 7x^-1 . For this function there are four important intervals:
(-∞, A], [A, B),(B,C], and [C,∞) where A, and C are the critical numbers and the function is not defined at B.
Find A ____________
and B ___________
and C __________
For each of the following open intervals, tell whether f(x) is increasing or decreasing.
(-∞, A): __________
(A, B): __________
(B,C): __________
(C,∞): ___________
Note that this function has no inflection points, but we can still consider its concavity. For each of the following intervals, tell whether f(x) is concave up or concave down.
(-∞, B): ____________
(B,∞): ____________

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