Question

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

Answer 1

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