Let f be a function with f(x) > 0 for all x. Let g = 1/f. (1) If f is increasing in an interval around x0, what about g?
a) g is constant in an interval around x0.
b)We cannot tell whether g is increasing or decreasing in an interval around x0.
c)g is increasing in an interval around x0
d)g is decreasing in an interval around x0. e) g is zero in an interval around x0.
(2)If f has a local maximum at x1, what about g?
a)g has an inflection point at x1.
b) g has a local maximum at x1.
c) g has a local minimum at x1.
d) We cannot tell whether g has a local minimum or a local maximum at x1.e) g has both a local minimum and a local maximum at x1.
(3)If f is concave down at x2, what about g?
a) g is flat at x2.
b)g is increasing at x2.
c)g is concave down at x2.
d)g is concave up at x2.
e) We cannot tell whether g is concave up or concave down at x2.