Word Count : 196

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We are asked to verify Lagrange’s Mean Value Theorem (LMVT) for the function $f(x) = 2x^2 - 7x - 10$ over the interval $[2,5]$. Step 1: Recall Lagrange’s Mean Value Theorem LMVT states that if $f$ is continuous on $[a,b]$ and differentiable on $(a,b)$, then there exists $c \in _______ _____ __________ ______ _____ ____ _____ ________.
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