Show that the function `f: R->R :f(x) = x^4` is many-one and into.

Show that the function f: R rarr R , f(x)= x^(4) is many-one and into.

show that the function f : R to R : f (x) = x^(4) is many -one and into

show that the function f : R to R : f (x) = 1 +x^(2) is many -one into .

show that the function f : R to R f : (x) = x^(5) is one-one and onto .

Show that the function f : R to R : f(x) =3-4 x is one-one onto and hence bijective.

bijective llUll (iii) full (v) into function functions. Give an example of each type of 3. Give an example of a function which is (ii) one-one and (i) one-one but not onto (iv) onto but not o (iii) neither one-one nor onto 4. Let f: R R be defined by 2x 3, when x <-2 3x2 2, when -2 s x s 3 f(x) 3x -1, when x 3. IV 5. Show that the function f R R: for 1 6. Show that the function f R R: x) x is many-C 7. Show that the function f R R: f(x) x is many-one a Let f 0 R f (x) sin x and X is one-one ano Sweet Self ie

Show that the function f: R-> R : f(x)=sinx is neither one-one nor onto

Show that the function f:R rarr R:f(x)={1 if x is rational and -1, if x is irrational is many- one into

Show that the function f : R ->R , defined as f(x)=x^2 , is neither one-one nor onto.

Show that the function f : R ->R , defined as f(x)=x^2 , is neither one-one nor onto.