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Question: Answered & Verified by Expert
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
MathematicsDifferentiationAP EAMCETAP EAMCET 2018 (24 Apr Shift 2)
Options:
  • A $[-2,-1]$
  • B $[3,4]$
  • C $[0,2]$
  • D $[5,8]$
Solution:
1934 Upvotes Verified Answer
The correct answer is: $[0,2]$
No solution. Refer to answer key.

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