Question

Let f : [0, 10] → [0,10] be a continuous function. Then which of the following is/are
incorrect.
A. f need not have any fixed point.
B. f has atleast 10 fixed points.
C. S has atleast 9 fixed points.
D. S has atleast one fixed point.​

Answer 1

S has atleast 9 fixed points.

Answer 2

Answer:

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