State whether the following functions are invertible or not. Give reasons. : `f : {5,6,7} rarr {1,2,3,4}` defined by `f={(5,1),(6,3),(7,4)}`

State whether the following functions are invertible or not. Give reasons. : f : (1,2,3} rarr {4,5,6} defined by f= {(1,4),(2,5),(3,4)}

State whether the following functions are invertible or not. Give reasons. : f : {2,3,4,5} rarr {a,b,c,d} defined by f={(2,a),(3,b),(4,c),(5,d)}

State whether the following functions are invertible or not. Give reasons. : f : {1,2,3,4} rarr{10} defined by f = {(1,10),(2,10),3,10),(4,10)}

Examine whether the following functions are one-one or not : f : Z rarr Z, f(x) = x^2+5

Determine whether the following functions are onto or not : f : N rarr N, f(x)=4x

Examine whether the following functions are one-one or not : f : R-{3} rarr R, f(x)=(5x+7)/(x-3)

Determine whether the following functions are onto or not : f : R rarr [-1,1], f(x)=sinx

Determine whether the following functions are onto or not : f : Q-{3} rarr Q, f(x)=(2x+3)/(x-3)

Statewith reasons whether the following functions have inverse f:{2,3,4,5} to {5,10,17,26} with f={(2,5)(3,10),(4,17),(5,26)}

State whether the following relations are reflexive, symmetric and transitive: R={(x,y) : x,y in A, y =x+1} in the set A={1,2,3,4,5,6}