If a function $f$ is differentiable on $\mathbb{R}$ such that $f^{\prime}(x) \leq 4$ for all $x \in \mathbb{R}$; and if $f(2)=-6$ and $f(6)=8$, then the value of $f(4)$ belongs to the interval

• A

  $[-2,-1]$
• B

  $[3,4]$
• Correct answer
  C

  $[0,2]$
• D

  $[5,8]$

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