Verify Rolles theorem for the function `f(x)=x^2-5x+6` on the interval `[2,3]dot`

Explanation

To verify Rolle's Theorem for the function \( f(x) = x^2 - 5x + 6 \) on the interval \([2, 3]\), we will follow these steps:

### Step 1: Check the conditions of Rolle's Theorem
Rolle's Theorem states that if a function \( f \) is continuous on the closed interval \([a, b]\), differentiable on the open interval \((a, b)\), and \( f(a) = f(b) \), then there exists at least one \( c \) in \((a, b)\) such that \( f'(c) = 0 \).

### Step 2: Evaluate \( f(2) \) and \( f(3) \)
We need to find \( f(2) \) and \( f(3) \) to check if they are equal.

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