1 votes 1 votes Let $f(x)$ be a continuous function from $[0,1]$ to $[0,1]$ satisfying the following properties. $f(0)=0$, $f(1)=1$, and $f(x_1)<f(x_2)$ for $x_1 < x_2$ with $0 < x_1, \: x_2<1$. Then the number of such functions is $0$ $1$ $2$ $\infty$ Calculus isi2014-dcg calculus functions limits + – Arjun asked Sep 23, 2019 • recategorized Nov 12, 2019 by Lakshman Bhaiya Arjun 477 views answer comment Share Follow See all 3 Comments See all 3 3 Comments reply `JEET commented Sep 24, 2019 reply Follow Share Please check the editing again? 0 votes 0 votes Lakshman Bhaiya commented Sep 26, 2019 reply Follow Share Now, it is fixed. 0 votes 0 votes slow_but_detemined commented Jan 27, 2020 reply Follow Share all series of polynomial functions? like x^2 , x^3 ? 0 votes 0 votes Please log in or register to add a comment.