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Let g (x) = 2^-x −x − x^3, defined on [0,1] (a) Use the Intermediate Value...

Let g (x) = 2^-x −x − x^3, defined on [0,1]
(a) Use the Intermediate Value Theorem (TVI) to prove that the equation g (x) = 0 has a solution.
(b) Use the Average Value Theorem (TVM) to show that the solution in part (a) is the only one that exists.

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