A function y = f ( x ) is said to be odd if _______.
f ( - x ) = - f (x )
f ( -x ) = f ( x )
f ( x ) = - f (x )
f ( x ) = f (x )
The domain of th function where [x ] denotes the greatest integer less than or equal to x, is ______
(0, ∞ )
(-∞, 0)
( -∞, ∞ )
None of these
If f (x ) = x/(x - 1), x ≠ 1, then f -1 ( x ) is.
x-1/x
x / x -1
1 - x /x
x / 1 -x
A function f : X → X is called an identity function if :
f ( x ) = c , where C is some constant.
f (x ) = x
f ( x ) = 1
Domain √(x-1) + √(8 - x) is _______.
[1, 8)
( -8,8)
(1,8 ]
[ 1, 8 ]
Let X and Y be two sets having n elements each. Then the total number of bijective functions from X to Y is _______.
n
2n
n2
n!
Let f : A →B and A⊆ R and B⊆ R be defined by y = f (x ), where x∈ A, Y∈ B, then f is called ______.
Real function
Into function
One - One function
None
Sin -1 ( cos x ); 0 ≤ x < 1, is equal to
x - π
x - π/2
π/2 -x
π - x
The function f : R →R, defined by f ( x ) = [x ] ,is _______.
One - one
Onto
Both a and b
Neither a nor b
Let f : A →B and A ⊆ R and B ⊆ R be defined by y = f (x ), where x ⊂ A, Y ⊂ B, then f is called ______.
