Verify Rolle's theorem for the function `f(x)=x^2+2x-8,``x in [-4,2]`.

Explanation

To verify Rolle's theorem for the function \( f(x) = x^2 + 2x - 8 \) on the interval \([-4, 2]\), we will follow these steps:

### Step 1: Check if the function is continuous on the interval \([-4, 2]\).

The function \( f(x) = x^2 + 2x - 8 \) is a polynomial function. Polynomial functions are continuous everywhere. Therefore, \( f(x) \) is continuous on the interval \([-4, 2]\).

**Hint:** Remember that polynomial functions are continuous on their entire domain.

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