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Mathematics Practice Questions for Functions and Relations

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Practice determining domain, range, function status, and function evaluation with given equations. Solve for heights and rocket heights in different scenarios.

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Mathematics Practice Questions for Functions and Relations

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  1. EOC Practice #16 SPI 3102.3.7

  2. EOC Practice #16 • Determine domain and range of a relation, determine whether a relation is a function, and/or evaluate a function at a specified rational value.

  3. The height (h) of a cliff diver above the water t seconds after he jumps is modeled by the equation h = –16t2 + 72. What is the height above the water of a cliff diver at 1.5 seconds after he jumps? • A. 36 C. 53 • B. 108 D. 312

  4. A meteorologist sends a moisture probe rocket into a cloud layer. The height (h) the rocket will reach after t seconds is modeled by the equation h = –16t2 + 212t + 2. What will be the height of the rocket after 0.5 seconds? • A. 212 ft. C. 104 ft. • B. 662 D. 44

  5. Which of the following relations does • NOT represent a function? A. {(3, 2), (4, 1), (5, 2), (–7, 3)} B. C. D. {(–2, 1), (–3, 2), (–4, 3), (–5, 4)}

  6. 4. What is the domain of the function? • A. {–2, 3, –7, 5} C. 5 < d < 20 • {all real numbers} D. {5, 10, 15, 20}

  7. 5. What is the range of the function? A. –3 < D < 1 C. –3 < R < 1 B. –4 < D < 4 D. –4 < R < 4

  8. 6. What is the value of the function f(x) = x2 – 4x + 6 when x = –5? A. 1 C. 21 B. 11 D. 51

  9. The Answers

  10. The height (h) of a cliff diver above the water t seconds after he jumps is modeled by the equation h = –16t2 + 72. What is the height above the water of a cliff diver at 1.5 seconds after he jumps? • A. 36 C. 53 • B. 108 D. 312

  11. A meteorologist sends a moisture probe rocket into a cloud layer. The height (h) the rocket will reach after t seconds is modeled by the equation h = –16t2 + 212t + 2. What will be the height of the rocket after 0.5 seconds? • A. 212 ft. C. 104 ft. • B. 662 D. 44

  12. Which of the following relations does • NOT represent a function? A. {(3, 2), (4, 1), (5, 2), (–7, 3)} B. C. D. {(–2, 1), (–3, 2), (–4, 3), (–5, 4)}

  13. 4. What is the domain of the function? • A. {–2, 3, –7, 5} C. 5 < d < 20 • {all real numbers} D. {5, 10, 15, 20}

  14. 5. What is the range of the function? A. –3 < D < 1 C. –3 < R < 1 B. –4 < D < 4 D. –4 < R < 4

  15. 6. What is the value of the function f(x) = x2 – 4x + 6 when x = –5? A. 1 C. 21 B. 11 D. 51

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