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Interpreting Function Graphs · CSEC Mathematics

43 past-paper questions on Interpreting Function Graphs, part of RELATIONS, FUNCTIONS AND GRAPHS, from every CSEC Mathematics paper on Quelpr.

Practise Interpreting Function Graphs
  1. 9(a)(i)1 mark· CSEC Mathematics · 2009 (second paper) · Paper 2Using the graph, state the value of y when x = -1.
  2. 9(a)(ii)1 mark· CSEC Mathematics · 2009 (second paper) · Paper 2Using the graph, state the value of x when y = 5.
  3. 6(a)1 mark· Mathematics Q6 6(a)What was the charge for a plumbing job which took 20 minutes?
  4. 6(b)(i)2 marks· Mathematics Q6 6(b)(i)How many minutes were spent completing repairs that cost $38.00?
  5. 6(b)(ii)2 marks· Mathematics Q6 6(b)(ii)How many minutes were spent completing repairs that cost $20.00?
  6. 8(b)(i)1 mark· Mathematics Q8 8(b)(i)Calculate the acceleration, in ms⁻², of the car during Stage B.
  7. 8(b)(ii)3 marks· Mathematics Q8 8(b)(ii)Calculate the average speed of the car during Stage B.
  8. 8(b)(iii)1 mark· Mathematics Q8 8(b)(iii)At time t = 60 seconds, the car starts to slow down with a uniform deceleration of 2.5 ms⁻². Determine how long it will take the car to come to rest.
  9. 8(c)3 marks· Mathematics Q8 8(c)Determine the acceleration of the car for EACH of the following stages of the journey: Stage 2, Stage 3.
  10. 9(a)(i)5 marks· Mathematics Q9 9(a)(i)Using the graph, determine the time at which the athlete left the training camp.
  11. 9(a)(i)a)4 marks· Mathematics Q9 9(a)(i)a)Using the graph, determine the MAXIMUM speed
  12. 9(a)(i)b)4 marks· Mathematics Q9 9(a)(i)b)Using the graph, determine the number of seconds for which the speed was constant
  13. 9(a)(i)c)4 marks· Mathematics Q9 9(a)(i)c)Using the graph, determine the TOTAL distance covered by the athlete during the race.
  14. 9(a)(ii)5 marks· Mathematics Q9 9(a)(ii)Using the graph, determine the distance from the camp to the park.
  15. 9(a)(ii)3 marks· Mathematics Q9 9(a)(ii)Complete the following statements: The cyclist started from rest, where his velocity was ___________ ms⁻¹, and steadily increased his velocity by ___________ ms⁻¹ each second during the first 25 seconds. During the next…
  16. 9(a)(ii)a)3 marks· Mathematics Q9 9(a)(ii)a)During which time-period of the race was the speed of the athlete increasing
  17. 9(a)(ii)b)3 marks· Mathematics Q9 9(a)(ii)b)During which time-period of the race was the speed of the athlete decreasing
  18. 9(a)(ii)c)3 marks· Mathematics Q9 9(a)(ii)c)During which time-period of the race was the acceleration of the athlete zero?
  19. 9(a)(iii)5 marks· Mathematics Q9 9(a)(iii)Using the graph, determine the length of time he spent at the park.
  20. 9(b)(i)1 mark· Mathematics Q9 9(b)(i)State the time of day at which the car arrived at Town C.
  21. 9(b)(ii)2 marks· Mathematics Q9 9(b)(ii)Calculate the TOTAL time, in minutes, for which the car stopped during the journey.
  22. 9(b)(ii)a)2 marks· Mathematics Q9 9(b)(ii)a)the average speed of the ball during the first 2 seconds
  23. 9(b)(ii)b)2 marks· Mathematics Q9 9(b)(ii)b)the speed of the ball when t = 3 seconds.
  24. 9(c)(i)2 marks· Mathematics Q9 9(c)(i)Estimate the value of x for which f(x) = 7. Draw lines on your graph to show how you obtained your estimated value.
  25. 9(c)(ii)2 marks· Mathematics Q9 9(c)(ii)What is the gradient of the graph during the SECOND stage? Explain, in one sentence, what the car is doing during this stage.
  26. 9(c)(ii)a)3 marks· Mathematics Q9 9(c)(ii)a)Use your graph to estimate the temperature of the liquid after 15 minutes.
  27. 9(c)(iii)2 marks· Mathematics Q9 9(c)(iii)Calculate the distance travelled by the car on the THIRD stage of the journey.
  28. 10(a)(i)6 marks· Mathematics Q10 10(a)(i)Using the graph, calculate the acceleration of the cyclist during the first 15 seconds.
  29. 10(a)(ii)1 mark· Mathematics Q10 10(a)(ii)Using the graph, calculate the distance traveled by the cyclist between the period t = 15 and t = 35 seconds.
  30. 10(b)(i)1 mark· Mathematics Q10 10(b)(i)State the interval of time when the velocity was constant.
  31. 10(b)(i)5 marks· Mathematics Q10 10(b)(i)What was the average speed during the first 2 hours?
  32. 10(b)(i)1 mark· Mathematics Q10 10(b)(i)For how many minutes was the train at rest at B?
  33. 10(b)(i)a)2 marks· Mathematics Q10 10(b)(i)a)State, using arguments based on the graph, whether the cricket club can have as members: 10 boys and 5 girls.
  34. 10(b)(i)b)2 marks· Mathematics Q10 10(b)(i)b)State, using arguments based on the graph, whether the cricket club can have as members: 6 boys and 6 girls.
  35. 10(b)(ii)1 mark· Mathematics Q10 10(b)(ii)What did the athlete do between 2 and 3 hours after the start of the journey?
  36. 10(b)(ii)a)4 marks· Mathematics Q10 10(b)(ii)a)Calculate the acceleration of the aircraft during the first 10 seconds.
  37. 10(b)(ii)b)4 marks· Mathematics Q10 10(b)(ii)b)Calculate the acceleration of the aircraft when t = 50 seconds.
  38. 10(b)(iii)1 mark· Mathematics Q10 10(b)(iii)What was the average speed on the return journey?
  39. 10(b)(iii)4 marks· Mathematics Q10 10(b)(iii)Calculate the total distance travelled over the period of 60 seconds.
  40. 10(c)(i)1 mark· Mathematics Q10 10(c)(i)Use your graph to estimate the value of y when x = 4.5.
  41. 10(c)(ii)2 marks· Mathematics Q10 10(c)(ii)Use your graph to estimate the value of x when y = 3.5.
  42. 12(a)(i)a)1 mark· Mathematics Q12 12(a)(i)a)Using the graph, find the value of f(x) when x = 22.5°.
  43. 12(a)(i)b)2 marks· Mathematics Q12 12(a)(i)b)Using the graph, find the values of x for which f(x) = 0.

Related topics in RELATIONS, FUNCTIONS AND GRAPHS