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:R to R be a function satisfying f(2-x)=f(2+x) and f(20-x)=f(x) AA x in R. For this function f , answer the following. If f(2) ne f(6), then the

Let f: R to R be defined as f(x) = e^("sgn "x)+ e^(x^(2)) . Then find the range of the function, and also indentify the type of the function : one-one or many-one.

The function f:R to R is defined by f(x)=cos^(2)x+sin^(4)x for x in R . Then the range of f(x) is

If f : R rarr R is defined by f(x)=1/(2-cos3x) for each x in R , then the range of f is

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

Let f : R to R be a function such that f(x)=x^3+x^2+3x+sinx . Then

Let f : R to R be defined as f (x) =10 x +7. Find the function g : R to R such that g o f =f 0 g= 1 _(R).

Let R be the set of real numbers. Define the real function f: R to R by f(x)=x+10 and sketch the graph of this function.

(f(x y))^2=x(f(y))^2:f(2)=6 A function f: R+ ? R+ defined as Then f(100) =?