If f : R R is a function defined by f(x) = [x] , where [x] denotes the greatest integer function, then f is :

Let ƒ : (–1, 1) B, be a function defined by ƒ(x) then ƒ is both one-one and onto when B is the interval-

Hence, the range of the given function is .

The range of the function is-

Hence, range of the given function will be $R-\left\{-1\right\}$

A function whose graph is symmetrical about the origin is given by -

Hence, the function f(x+y)=f(x)+f(y) is symmetric about the origin.

The minimum value of is

is -

Hence, the given function is many one and onto.

If f(x) is a polynomial function satisfying the condition f(x). f(1/x) = f(x) + f(1/x) and f(2) = 9 then -

Fill in the blank with the appropriate transition.
The movie managed to fetch decent collections ______ all the negative reviews it received.
 

If R be a relation '<' from A = {1, 2, 3, 4} to B = {1, 3, 5} i.e. (a, b) R iff a < b, then is

Values of  are {(3, 3), (3, 5), (5, 3), (5, 5)}

Which one of the following relations on R is equivalence relation

Let R = {(x, y) : x, y A, x + y = 5} where A = {1, 2, 3, 4, 5} then

Hence, the given relation is not reflexive, symmetric and not transitive

Let be a relation defined by Then R is

Hence, the given relation is Reflexive, transitive but not symmetric.

The relation R defined in N as aRb b is divisible by a is

Hence, the given relations is reflexive but not symmetric.

Electric power =

n equal resistors are first connected in series and then in parallel. The ratio of the equivalent resistance in the two cases is

The equivalent resistance of the network shown in the adjoining figure between the points A and B is