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Those friendly functions that don't contain breaks, bends or cusps are "differentiable". Take their derivative, or just infer some facts about them from the Mean Value Theorem.

Between which of the following two values does the equation \(-5x^4 + 7x^2 + 1=0\) have a solution?

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Between which of the following two values does the equation \(4x^3 + 7x - 13=0\) have a solution?

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