Is the function `f : A rarr B` one-one and onto? : `A={1,2,3,4}, B={a,b,c}, f={(1,a),(2,a),(3,b),(4,c)}`

Is the function f : A rarr B one-one and onto? : A={1,2,3,4}, B={a,b,c,d}, f={(1,a),(2,b),(3,c),(4,d)}

Is the function f : A rarr B one-one and onto? : A={1,2,3}, B={a,b,c}, f={(1,a),(2,b),(3,b)}

Is the function f : A rarr B one-one and onto? : A={1,2,3},B={a,b,c,d},f={(1,a),(2,b),(3,c)}

Show that the function f(x)=3x+2 is one-one and onto.

Let A={1,2,3,4} be a given set and f : A rarr A, g : A rarr A be two given functions such that f={(1,4),(2,1),(3,3),(4,2)} g={(1,3),(2,1),(3,2),(4,4)} Find gof, fog, fof, gog .

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)}

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)}

Prove that the function f:N rarr N defined by f(x)=x^2+2 is one-one but not onto.

Show that the function f : R rarr R , defined by f(x)=|x| is neither one-one nor onto.