Which of the following functions are identical to f(x)?
f(x)={x,1≤x<2x2,2≤x<3
(1 ≤ x < 3 )
We will go through the options and eliminate .
(A) [x]x
If 1 ≤x<2,[x]x=1x=1
⇒ Wrong
(C), (D) are wrong because in the interval 1 ≤ x < 2
they are not equal to x ( f(x) is equal to x in this interval )
(B) satisfies all the condtions
[x] = 1 , if 1 ≤ x < 2
[x] = 2 , if 2 ≤ x < 3