Which of the following functions is/are bounded?

Which of the following functions is/are not discontinuous at x=1?

Which one of the following function(s) is/are homogeneous?

Which of the following functions are decreasing on 0,(pi)/(2) ?

Which of the following function/functions is/are periodic ? (a) sgn(e^(-x)) " (b) " sinx + |sinx| (c ) min(sinx, |x|) " (d) " (x)/(x)

Which of the following functions is increasing in (0 , oo) ?

Let f(x)=sgn(cot^(-1)x)+tan(pi/2[x]), where [x] is the greatest integer function less than or equal to x , then which of the following alternatives is/are true? f(x) is many-one but not an even function. f(x) is a periodic function. f(x) is a bounded function. The graph of f(x) remains above the x-axis.

In a man, abducens nerve is injured. Which one of the following functions will be affected ?

Which of the following functions from z to itself are bijections (one-one and onto )?