1 Crore+ students have signed up on EduRev. Have you? Download the App 
If f : R → R satisfies f (x + y) = f ( x) + f (y) , for all x,
A function f from the set of natural numbers to integers defined by
The range of the function f (x) =^{ 7 x} P_{x 3} is
If f : R → S, defined by
f (x) = sin x  √3 cosx+ 1, is onto, then the interval of S is
The graph of the function y = f(x) is symmetrical about the line x = 2, then
L et f : (– 1, 1) → B , be a function defined by then f is both one  one and onto when B is the interval
A function is matched below against an interval where it is supposed to be increasing. Which of the following pairs is incorrectly matched?
A real valued function f(x) satisfies the functional equation f(x – y) = f(x) f(y) – f(a – x) f(a + y) where a is a given constant and f(0) = 1, f(2a – x) is equal to
The largest interval lying in for which the function, , is defined, is
Let f: N→Y be a function defined as f(x) = 4x + 3 where Y = {y ∈ N : y = 4x + 3 for some x ∈ N}.
Show that f is invertible and its inverse is
Let f(x) = ( x + 1)^{2} – 1,x > –1
Statement 1 : The set {x : f(x) = f ^{–1}(x) = {0, –1}
Statement2 : f is a bijection.
For real x, let f (x) = x^{3} + 5x + 1, then
447 docs930 tests

447 docs930 tests
