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

Give an example to show that the function gof is defined and onto though the functions both f and g are not necessarily onto.

Give an example to show that the function gof is defined and one-one though the functions both f and g are not necessarily one-one.

Is the function f(x)=x^2, x inR increasing?

Which one of the following is true? For the function f(x)= cos x f is neither increasing nor decreasing in (pi, 2pi)

Show that the function f : N' rarr Z, f(x)=100-x^2 is not bijective.

Show that the function given by f(x) = e^(2x) is strictly increasing on R.

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

Examine whether the following functions are one-one and onto : f : N rarrN,f(x)=2x for all x in N

Examine whether the following functions are one-one and onto : f : R rarrR,f(x)=x^2 for all x in R

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)}