Verify Rolles theorem for the function `y=x^2+2,a=-2`and `b = 2`.

Explanation

Let `f(x)=x^2+2`

Rolle's theorem is satisfied if

Condition 1

Since `f(x)` is a polynomial , it is continous

`:. f(x)` is continuous at `(-2,2)`

Condition 2

Since `f(x)` is a polynomial , it is differentiable

`:. f(x)` is differentiable at `(-2,2)`

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