National Benchmark Tests (NBT) · Mathematics

Functions and graphs

17 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 17 questions

  1. Given and , calculate .
  2. What is the range of ?
  3. Determine the inverse function of .
  4. What is the range of ?
  5. Given and , calculate .
  6. What is the range of ?
  7. Given and , calculate .
  8. What is the largest possible domain of over the real numbers?
  9. Given and , calculate .
  10. Determine the inverse function of .
  11. Given and , calculate .
  12. What is the range of ?
  13. What is the minimum value of ?
  14. What is the minimum value of ?
  15. What is the x-coordinate of the turning point of ?
  16. What is the x-coordinate of the turning point of ?
  17. What is the minimum value of ?

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