Exercises. Determine if each statement is true or false for a function f(x) defined on the whole real line.
- If f(x) is strictly increasing then f(x) must also be non-decreasing.
Answer
True or false questions that test knowledge and understanding of mathematics definitions can be tricky. We will take our time and break each one apart.
- True. If f(x) is strictly increasing that means f(x) is getting bigger all the time. If f(x) is getting bigger all the time it can't be getting smaller, it must be non-decreasing.
