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Define the decreasing function theorem

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Reference no: EM131602846

Question: 1. State a Decreasing Function Theorem, analogous to the Increasing Function Theorem. Deduce your theorem from the Increasing Function Theorem. [Hint: Apply the Increasing Function Theorem to -f.]

2. Use one of the theorems in this section to prove the statements.

If f'(x) ≤ 1 for all x and f(0) = 0, then f(x) ≤ x for all x ≥ 0.

Reference no: EM131602846

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