Q.

Identify the correct option(s)                   

(A) A modulus function is continuous at every point in its domain.

(B) A modulus function may or may not be continuous at every point in its domain.

(C) Every rational function is continuous in its domain.

(D) If a function f is differentiable at a point then it is also continuous at that point.

(E) If a function f is continuous at a point then it is also differentiable at that point.

Choose the correct answer from the option given below:

1 (A) and (C) only  
2 (B) and (E) only  
3 (A), (C) and (D) only  
4 (C) and (E) only  

Ans.

(2)

Ans.      (B) and (E) only

Explanation:

Ex-f(x)=1|x| is not continuous at every point.