When a function f(x) is increasing and concave up: f '(x) > 0 and f "(x) > 0.
When a function f(x) is increasing and concave down: f '(x) _________ 0 and f "(x) __________ 0.
When a function f(x) is decreasing and concave up: f '(x)_________ 0 and f "(x) __________ 0.
When a function f(x) is decreasing and concave down: f '(x) _________ 0 and f "(x) __________ 0.