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CAIE IGCSE Mathematics Extended Plotting and Solving Function Graphs

CAIE IGCSE Mathematics Extended Plotting and Solving Function Graphs
Cambridge IGCSE Mathematics 0580 syllabus for exams in 2028, 2029 and 20302028–2030

Practise calculating and plotting function values, drawing a smooth curve and using a suitable additional line to obtain graphical roots.

How this is tested

  • complete missing table entries by evaluating the printed function at each stated x-value
  • plot points within the grid tolerance and connect them with one continuous smooth curve
  • draw the rearranged auxiliary line and record all x-coordinates where it intersects the curve

Question 11(b)

[Maximum number: 4]

The table shows some values for y=x32x+3y=x^{3}-2 x+3.
Where appropriate, values of y are given correct to 2 decimal places.

Table for Question 11(b) — CAIE IGCSE Mathematics Extended

Draw the graph of y=x32x+3y=x^{3}-2 x+3 for 2x2-2 \leqslant x \leqslant 2.

Figure for Question 11(b) — CAIE IGCSE Mathematics Extended