If `f: R -> R` is a function such that `f(x) = 2^x`, find. (i) range of `f` (ii) `(x: f(x)=1)` (iii) `f(x+y) = f(x)+f(y)` is true or false.

Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R.

Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R.

Let f: R\rightarrowR be such that f(x)=2^x . Determine: Range of f (ii) {x :f(x)=1} (iii) Whether f(x+y)=f(x)f(y) holds.

Let f:R rarr R be such that f(x)=2^(x) Determine: Range of f( ii) quad {x:f(x)=1} (iii) Whether f(x+y)=f(x)f(y) holds.

A function f : R rarr R defined by f(x) = x^(2) . Determine (i) range of f (ii). {x: f(x) = 4} (iii). {y: f(y) = –1}

If f(x) is a polynomial function f:R→R such that f(2x)=f (x) f ′′(x) Then f(x) is

Let a function f:R^(+) to R is defined as f(x)="log"_(e)x, then find each of the following: (i) Range of f (ii) f(x)=-2 (iii) Is f(xy)=f(x)+f(y) true ?

f is a function such that f(x + y) = f(x) .f(y), forall x, y in R , if f(1) = 3, then find sum_(r = 1)^n f(r) .

If f : R to R is continuous such that f(x + y) = f(x) + f(y) x in R , y in R and f(1) = 2 then f(100) =

Let f : R to R be a function such that f(0)=1 and for any x,y in R, f(xy+1)=f(x)f(y)-f(y)-x+2. Then f is