Functions Question 513

Question: $ f:R\to $ defined by $ f(x)=(x-1)(x-2)(x-3) $ is

Options:

A) one-one and into

B) one-one and onto

C) Many one and into

D) many-one and onto

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Graphically, $ y=f(x)=(x-1)(x-2)(x-3), $ which is clearly many -one and onto.