Question: QUES'J'ION 4. Suppose f is a continuous function that maps the interval [3, 5] back into itself. That is, f([c, b]} E [(1, b]. Prove

QUES'J'ION 4. Suppose f is a continuous function that maps the interval [3, 5] back into itself. That is, f([c, b]} E [(1, b]. Prove that the autonomous rst-order difference equation 'yn+1 = flynl has at least one equilibrium solution. HINT: Recall the intermediate mlue theorem

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