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.