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
The inverse of the function
None of these
lim f ( x ) x → a+ = l = ltx → a - g( x ) and Ltx → a - f ( x ) = m = Lt x → a + g ( x ), then the function f ( x ). g ( x )
Is continuous at x = a
Is not continuous at x = a
Has a limit when x → a and it is equal to lm
Has a limit when x → a + bvut it is nto equal to lm
Let f: x → y be a function. Then if R ( f ) y,f is said to be ______.
Onto function
One - one function
Ltx → 0 f ( x ) / g ( x ) exists, then
Both lim x → a f (x ) and lim x → a g ( fx ) must exist
lim f ( x ) need not exist but lim g (x ) exists x → a x → a
Nither lim f ( x ) nor lim g ( x ) does not exist. x → a x → a
lim f (x ) exists but lim g ( x ) does not exist. x → a x → a
3
1/2
2
1/3
A function y = f ( x ) is said to even if _______.
f ( - x ) = - f (x )
f ( -x ) = f ( x )
f ( x ) = - f ( x )
f ( x ) = f ( x )
3/2
2/3
1/6
6
Which of the following functions is a ploynomial function ?
x2 -1/ x + 4 , x ≠ - 4
x4 + x3 + 3x2 - 7x + √2x2
2x2 + x 2/3 + 4
Which of the following function is periodic in R ?
f ( x ) = log x
f ( x )= ex
f (x ) = x - [x ] where [ x ] denotes the greatst integer ≤ x
f ( x ) = [ x ] + x
