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)}`

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={1,2,3,4}, B={a,b,c}, f={(1,a),(2,a),(3,b),(4,c)}

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

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)}

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.

Factorise : |(a,b,c),(a^2,b^2,c^2),(a^3,b^3,c^3)|

Let A={a,b,c} and B={1,2,3} . Let f : A rarr B be a function where f= {(a,1),(b,2),(c,3)} Find f^-1 , if exists in each case.