Verify Rolle's theorem for the function f(x) = ` x^(2) +x-6` in the interval [-3,2]`

Explanation

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

### Step 1: Check if the function is continuous on the interval \([-3, 2]\).

A polynomial function is continuous everywhere, including the interval \([-3, 2]\). Therefore, \( f(x) \) is continuous on \([-3, 2]\).

### Step 2: Check if the function is differentiable on the interval \((-3, 2)\).

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