\(f(x)=\left\{\begin{array}{ll}0, & x=0 \\ x-3, & x > 0\end{array}\right.\) The function \(f(x)\) is

• A

  increasing when \(x \geq 0\)
• Correct answer
  B

  strictly increasing when \(x > 0\)
• C

  Strictly increasing at \(x=0\)
• D

  not continuous at \(x=0\) and so it is not increasing when \(x > 0\)

Solution

Hint:

Hence, the correct answer is option: 'B'.