Question

Match List - I with List - II. 

List - I		List - II
A.	Injective function	I.	\(f(x) = x^2\) on \(\mathbb{R}\)
B.	Surjective function	II.	\(f(x) = 2x + 3\) on \(\mathbb{R}\)
C.	Bijective function	III.	\(f(x) = x^3\) on \(\mathbb{R}\)
D.	Non-injective and non-surjective	IV.	Every element of a codomain has a preimage

Choose the correct answer from the options given below:

• A. A-I, B-III, C-II, D-IV
• B. A-III, B-I, C-IV, D-II
• C. A-II, B-IV, C-III, D-I
• D. A-II, B-IV, C-I, D-III

Hint:

On $\mathbb{R}$, $x^2$ is the classic example of a "bad" function: it fails the Horizontal Line Test twice!

Answer 1

The Correct Option is C