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Points, Vectors, and Functions

Points, Vectors, and Functions

Points, Vectors, and Functions: Function Junction, What's Your Function? True or False

1. Which of the following statements is true?The equation y = x2 describes y as a function of x.
2. We say y = f(x) is a function of x ifthere is only one possible y for each x.
3. Which of the following functions is bounded above but not bounded below?
4. We say a function f(x) defined on the whole real line is bounded below ifThere is a real number K such that f(x) ≤ K for all real x.
5. Which of the following statements is FALSE?If a function is non-decreasing, that function must also be strictly increasing.
6. Which of the following graphs shows a function that is non-increasing but is not strictly decreasing?
7. Which of the following graphs shows an even function?


8. Which of the following functions is odd?f(x) = x + x
9. Which of the following statements is true?It is possible for a function to be neither even nor odd.
10. Which graph shows a function that is strictly decreasing, odd, and bounded both above and below?

B


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