If `f(x)=ux+v` the number of points in `{(u,v);f(x)=fo(x) for all x in R}` is (a) finitely many (b) infinitely many (c) 2 (d) 4

The number of points at which the function f(x)=1/("log"_(e)|x|) is discontinnuous, is a)1 b)infinitely many c)3 d)4

If f(x+1/2)+f(x-1/2)=f(x) for all x in R , then the period of f(x) is 1 (b) 2 (c) 3 (d) 4

Show f:R rarr R defined by f(x)= x^2 + x for all x in R is many one.

Show f:R rarr R " defined by " f(x)=x^(2)+x " for all " x in R is many-one.

Show f:R rarr R " defined by " f(x)=x^(2)+x " for all " x in R is many-one.

Show f:R rarr R " defined by " f(x)=x^(2)+x " for all " x in R is many-one.

Show f:R rarr R " defined by " f(x)=x^(2)+x " for all " x in R is many-one.

Let f(x)=x^3-6x^2+15 x+3 . Then, (a) f(x)>0 for all x in R (b) f(x)>f(x+1) for all x in R (c) f(x) is invertible (d) f(x)<0 for all x in R

If f(x+(1)/(2))+f(x-(1)/(2))=f(x) for all x in R then the period of f(x) is 1(b)2(c)3(d)4