📝 The Constant Difference Theorem

Q1. If a function \(f\) satisfies \(f'(x)=5\) for all \(x\) in \([2,10]\), which of the following statements is true about the difference \(f(10)-f(2)\)?

💡 Difficulty: easy | ✅ Correct: A

Q2. Suppose \(g'(x)=k\) where \(k\) is a constant. Which of the following must be true for any \(a<b\)?

💡 Difficulty: medium | ✅ Correct: A

Q3. Let \(f'(x)=k\) for all real \(x\) and \(f(2)=7\). Which of the following gives \(f(6)\) in terms of \(k\)?

💡 Difficulty: hard | ✅ Correct: A