Which of the following functions is not continuous `AAx in R ?`

Which of the following function x has range R :

Which of the following function is continuous everywhere but not differentiable at atleat one point in its domain

Which of the following functions are defined for all x in R ? (Where [.] = denotes greatest integer function)

Which of the following functions have finite number of points of discontinuity in R ( where, [*] represents greatest integer function ) ?

Show that every polynomial function is continuous.

Which of the following functions have their range equal to R(the set of real numbers)?

Prove that every rational function is continuous.

For the function f(x)=(x^2+b x+c)3^xa n dg(x)=(x^2+b x+c)3^x+3^x(2x+b)dot Which of the following holds goods? If f(x)>0AAx in R =>g(x)>0AAx in R If f(x)>0AAx in R=>g(x) 0AAx in R=>f(x)>0AAx in R If g(x)>0AAx in R =>f(x)<0AAx in R

The composition of two continuous function is a continuous function.

The composition of two continuous function is a continuous function.