Let $g: \mathbb{R} \mapsto \mathbb{R}$ be a differentiable function such that $g(x) g^{\prime}(x) \gt 0$ for all $x \in \mathbb{R}$. Then

• A

  $g$ is increasing.
• B

  $g$ is decreasing
• Correct answer
  C

  $|g|$ is increasing.
• D

  $|g|$ is decreasing.

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