Which of the following functions are onetoone Which of the f

Which of the following functions are one-to-one?

Which of the following functions are one-to-one?

a) I II

b) None of these are one-to-one.

c) I

d) II III IV

e) I III IV

f) None of the above.

a) I II b) None of these are one-to-one. c) I d) II III IV e) I III IV f) None of the above.

I.
II.
III.
IV.

Solution

(I) is a straight line. So it is one-to-one.

(II) is a polynomial function with even degree. So it cannot be one-to-one.

(III) and (IV) are modulous functions. So they are also not one-to-one.

So, th answer is (c).