f(x) = x^3 + 2x + k. Prove that every function of this family has exactly one real root

f(x) = x^3 + 2x + k. Prove that every function of this family has exactly one real root

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thanks, but you didn't prove that the function has roots or not ?

the very fact that the derivative is positive and its an odd-degree fn shows it has atleast one root

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