Let `f={(x, x^2/(1+x^(2))), x in R}` be a function from R into R. Determine the range of f.

Let f : [2, oo) rarr R be the function defined by f(x) = x^2-4x+5 . Then the range of f is

Show that f:[-1,1] to R given by f(x) = x/(x + 2) is one-one. Find the inverse of the function f: [-1,1] to S ,where S is the range of f.

Let f : R to [0, pi/2) be defined by f ( x) = tan^(-1) ( 3x^(2) + 6x + a)". If " f(x) is an onto function . then the value of a is

Let f(x) = x-[x], x in R then f^(')(1/2) is

Let f: N to R be defined by f(x) = 4x^(2) + 12x+ 15 . Show that f: N to S where S is the range of function f, is invertible. Also find the inverse of f.

Define a modulus function.If the function f:R rarr R is defined by f(x) =|x| ,draw the graph of the function .Write the domain and range of f.(R is the set of real numbers).

Draw the graph of the function f: R to R defined by f(x)=x^(3), x in R .

Let f:[2, oo)rarrR be the function defined by f(x)=x^(2)-4x+5 , then the range of f is

Let f(x)=x-cosx, x in R , then f is :

Let f : R to R be a function defined by f(x) = 4x - 3 AA x in R . Then Write f^(-1) .