A function is defined by $f(x)=\left|\begin{array}{ccc} x+1 & 2 & 3 \\ 2 & x+4 & 6 \\ 3 & 6 & x+9 \end{array}\right|$ The function is decreasing on:

• Correct answer
  A

  $\left[-\frac{28}{3}, 0\right]$
• B

  $\left[0, \frac{28}{3}\right]$
• C

  $\left[0, \frac{50}{3}\right]$
• D

  $\left[0, \frac{56}{3}\right]$

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