Requires detailed process and reasonable logic

3. We study the function f defined below: f (x) =2 if x is rational -24 if x is irrational Prove that f is nowhere continuous except at x = 0. That is, you need to prove the following two statements. (1) (2 marks) f is continuous at x = 0. (2) (3 marks) f is not continuous at x = a for any a # 0