Consider f:[0,1]→[0,1]f:[0,1]\to[0,1]f:[0,1]→[0,1] such that f(x)=x2−xf(x)=\dfrac{x}{2-x}f(x)=2−xx. Which of the following statements is \emph{incorrect}?
f(0)=0f(0)=0f(0)=0 and f(1)=1f(1)=1f(1)=1
f(1−f(x))=1−xf(1-f(x))=1-xf(1−f(x))=1−x
fff is strictly concave in the interval (0,1)(0,1)(0,1)
fff is strictly increasing in the interval (0,1)(0,1)(0,1)
