Alberta Diploma Exams · Mathematics 30-1

Functions, logarithms and polynomials

22 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 22 questions

  1. Which transformation maps the graph of onto the graph of ?
  2. The graph of is the graph of reflected
  3. The point is on . Which point must lie on ?
  4. The point is on . Which point is on ?
  5. What is the inverse of ?
  6. The point is on . Which point is on ?
  7. What is the value of ?
  8. Evaluate .
  9. Solve .
  10. Solve . Give to two decimal places.
  11. What is the domain of ?
  12. An 80 mg sample has a half-life of 5 days. How much remains after 15 days?
  13. $1000 is invested at 6% per year, compounded annually. About how long does it take to double?
  14. What is the horizontal asymptote of ?
  15. Which expression equals ?
  16. Solve .
  17. What is the remainder when is divided by ?
  18. For which value of is a factor of ?
  19. What are all the solutions of ?
  20. At , the graph of
  21. What are the asymptotes of ?
  22. Solve .

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