Let `f: NvecZ` be a function defined as `f(x)=x-1000.` Show that `f` is an into function.

Prove that the function defined by f(x)= tan x is a continuous function.

Show that the function defined by f(x)= |cos x| is a continuous function.

Show that the function defined by f(x)= cos (x^2) is a continuous function.

Show that the function defined by f(x)= sin (x^2) is a continuous function.

A function is defined by f(x)=2x-3 Find x such that f(x)=x .

A function is defined by f(x)=2x-3 Find x such that f(x)=0.

Let f be a function f:N→N be defined by f(x)=5x-3 , Find the image of 3,4,5 .

Let A={-1, 1} and B={0, 2} . If the functions f:A to B defined by f(x)=ax+b is an onto function? Find a and b.

The function f:R->[-1/2,1/2] defined as f(x)=x/(1+x^2) is