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Graphs of Non-Linear Functions · CSEC Mathematics

16 past-paper questions on Graphs of Non-Linear Functions, part of RELATIONS, FUNCTIONS AND GRAPHS, from every CSEC Mathematics paper on Quelpr.

Practise Graphs of Non-Linear Functions
  1. 12(b)(i)2 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Copy and complete the table of values for y = 1 + 2\sin x.
  2. 12(b)(ii)4 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Draw the graph of y = 1 + 2\sin x for 0^\circ \le x \le 180^\circ.
  3. 6(c)2 marks· Mathematics Q6 6(c)On the answer sheet provided, carefully draw the tangent line to the graph y = x² at the point (2, 4).
  4. 8(a)(ii)2 marks· Mathematics Q8 8(a)(ii)On the diagram on page 25, the ordered pairs shown in the table have been plotted except for the missing ones. Using your answers in (a) (i), plot the missing points and connect all the points with a smooth curve.
  5. 9(a)(ii)5 marks· Mathematics Q9 9(a)(ii)Using a scale of 2 cm to represent 1 unit on the x axis and 1 cm to represent 1 unit on the y axis, plot the points from your table, drawing a smooth curve through all points.
  6. 9(b)5 marks· Mathematics Q9 9(b)Using a scale of 4 cm to represent 1 unit on the x-axis and 1 cm to represent 1 unit on the y-axis, draw the graph of the function, f(x) = \frac{12}{x^2}.
  7. 9(b)(i)4 marks· Mathematics Q9 9(b)(i)Using 2 cm to represent 1 second on the x-axis and 1 cm to represent 10 metres on the y-axis, plot a graph to show the height of the ball during the first 6 seconds.
  8. 9(b)(ii)4 marks· Mathematics Q9 9(b)(ii)On the grid provided on page 27, draw the graph of y = 2ˣ, using a scale of 2 cm to represent 1 unit on the x-axis and 1 cm to represent 1 unit on the y-axis.
  9. 9(c)(i)4 marks· Mathematics Q9 9(c)(i)Using a scale of 2 cm to represent 10 minutes on the horizontal axis and a scale of 2 cm to represent 10 degrees on the vertical axis, construct a temperature-time graph to show how the liquid cools in the 60 minute…
  10. 10(a)3 marks· Mathematics Q10 10(a)Copy and complete the table below for the function y = 20 / x^2 for 2 ≤ x ≤ 7.
  11. 10(b)(i)4 marks· Mathematics Q10 10(b)(i)Using a scale of 2 cm to represent 1 unit on both axes, plot the points whose x and y values are given in the table at (a).
  12. 10(b)(ii)1 mark· Mathematics Q10 10(b)(ii)Draw a smooth curve through the points.
  13. 10(b)(iv)3 marks· Mathematics Q10 10(b)(iv)On your answer sheet, draw the line segment which describes the journey of the train from B to C.
  14. 11(a)(i)1 mark· Mathematics Q11 11(a)(i)Copy and complete the table for the graph of y = (1/2)tan x, for 10° ≤ x ≤ 60°.
  15. 11(a)(ii)4 marks· Mathematics Q11 11(a)(ii)Using a scale of 2 cm to represent 10° (10 degrees) on the horizontal axis and 10 cm to represent 1 unit on the vertical axis, plot the values from the table and draw a smooth curve through your points.
  16. 12(b)(ii)7 marks· Mathematics Q12 12(b)(ii)Using a scale of 2 cm to represent 30° on the x-axis, and 1 cm to represent 0.2 on the y-axis, draw the graph of y = 2 - cos x for 0° ≤ x ≤ 180°.

Related topics in RELATIONS, FUNCTIONS AND GRAPHS