Question: please show all your work to help me understand. 5. The Intermediate Value Theorem states, Suppose f is continuous on a closed interval [a, b].

please show all your work to help me understand.

5. The Intermediate Value Theorem states, "Suppose f is continuous on a closed interval [a, b]. If k is any number between f (a) and f(b) then there is at least one number c in [a, b] such that f (c) = k." a. Use the Intermediate Value Theorem to show that the equation sin(x + 5) + (#) = 0 has a solution on the interval [-2,2]. You must include a justification for why you can apply the IVT to this equation. Your calculator should be in RADIAN MODE for this problem. b. Can you use the given theorem to determine that there is not a solution on a given interval? Explain. If yes, justify your answer. If no, give a counter example

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