Let $f: [0,10) \to [0,10] $ be a continous map then
(a) $f$ need not have any fixed point
(b) $f$ has atleast $10$ fixed point
(c) $f$ has atleast $9$ fixed point
(d) $f$ has atleast one fixed point
Taking counterexample $f(x) = 1$; I can easily eliminate option (b) and (c) but I have no idea about first and last options.
Any hints will be helpful