calculus
posted by Sam .
If a function f is continuous for all x and if f has a relative minimum at (1,4) and a relative minimum at (3,2), which of the following statements must be true?
(a) The graph of f has a point of inflection somewhere between x = 1 and x=3
(b) f'(1) = 0
(c) The graph of f has a horizontal asymptote
(d) The graph of f has a horizontal tangent line at x=3
(e) The graph of f intersects both axes

If it has a minimum at x = 1 then the slope, f'(1) is indeed zero there.