Recent content by luxade

The question as stated is correct. It states that f satisfies the intermediate value property: the result of the theorem rather than the theorem itself.

Homework Statement Let f : (-1, 1) → ℝ. f satisfies the intermediate value property and is one-to-one on (-1, 1). Prove f is continuous on (-1, 1) The Attempt at a Solution I was thinking that the IVP and one-to-one implies that f should be strictly monotonic and that a strictly monotonic...