If `f(x) = sgn(x^5)`, then which of the following is/are false (where sgn denotes signum function)

Which of the following is true for f(x)=sgn(x)xx sin x

Which of the following is true for f(x) = sgn(x) xx sin x

10If J=int_(0)^(10)sgn(sin pi x)dx, then 10J is equal to,where sgn x denotes signum function of x

Which of the following functions are continuous at x=0? [Note: sgn x denotes signum function of x .]

Find the number of solutions of equation (where sgn represent signum function) sgn (x)=|x| .

Number of points where f(x)=|x-sgn(x)| is non differentiable is (sgn( ) denotes signum function )

Which of the following pair(s) of function have same graphs?(B) f(x)=sgn(x^(2)-4x+5),g(x)=sgn(cos^(2)x+sin^(2)(x+(pi)/(3))) where sgn denotes signum function

If g(x)=ln(1+x)(tan^(-1)x)/(1+x),xgt0 then sgn(g(x)) is,(where sgn(.) represents signum function)