Show that the function `f:R ->R:f(x)={1`, if x is rational and -1, if x is irrational is many-one into

Let the function f : R rarr R f(x) = {:{(1,if x is a rational)(-1, if x is irrational):}} be many one into Then f(1/2) is equal to

f(x)=1 for x is rational -1 for x is irrational,f is continuous on

Show that the function f defined by f(x)={(1 if "x is rational"),(0if "x is irrational"):} is discontinuous AAne0inalpha

Show that the function f:R rarr R:f(x)=x^(4) is many-one and into.

The function f(x)={0,x is irrational and 1,x is rational,is

Show that the function f: R rarr R , f(x)= x^(4) is many-one and into.

show that the function f : R to R : f (x) = x^(4) is many -one and into

If f(x) = {{:(1, "if x is rational"),(-1, "If x is irrational"):}} , then f : R to R is :

show that the function f : R to R : f (x) = 1 +x^(2) is many -one into .