EASY
12th West Bengal Board
IMPORTANT
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Determine the function f:RR, defined by fx=x+x, xR  is surjective, injective or bijective

Important Questions on Relations and Functions

EASY
12th West Bengal Board
IMPORTANT

Determine the function f:QR, defined by fx=2x, xQ  is surjective, injective or bijective

EASY
12th West Bengal Board
IMPORTANT

Determine the function f:R+R*, defined by fx=1x, xR*  is surjective, injective or bijective

EASY
12th West Bengal Board
IMPORTANT

Determine the function f:RR, given by fx=2x-7,  xR  is surjective, injective or bijective.

EASY
12th West Bengal Board
IMPORTANT

Determine the function f:RR, given by fx=x2-3x+4,  xR  is surjective, injective or bijective.

EASY
12th West Bengal Board
IMPORTANT
Let A be a finite set and let f : AB be a surjective function. Show that the number of elements of B cannot be greater than that of A.
EASY
12th West Bengal Board
IMPORTANT
Let X=a,b,c. Find all possible bijective functions from X onto itself.
EASY
12th West Bengal Board
IMPORTANT
Justify that while every function is a relation, the converse proposition is not necessarily true. Give an example in favour of your argument.
EASY
12th West Bengal Board
IMPORTANT
If f:RR, be given by fx=x2-3x-4, for all xR, find f-10.