Functions — IGCSE Mathematics - International (0607) questions by topic
Function questions move between representations: completing a mapping diagram for a linear function, sketching a cubic graph over a stated x-range, sketching a reciprocal-style curve, and evaluating a logistic growth model at a given input all test reading and drawing functions accurately.
Find, draw, state, complete and explain lead the command words, worth from 2 to 11 marks, across 14 questions from 2025 papers. Because sketches need correct shape and key features rather than just plotted points, practise checking asymptotes, intercepts and turning points before submitting, then use instant marking to see whether your sketch would be marked as showing the right overall shape for that function.
May–June 2025, Paper 21
f(x) = 3x - 2 g(x) = 5 - x Find f(-4).
Answer this question and get it marked →May–June 2025, Paper 22
f(x) = 1/(5x - 4), x != 0.8 Find f(2).
Answer this question and get it marked →May–June 2025, Paper 23
The diagram (not to scale) shows a sketch of the graph of y = x^2 + ax + b. The point (1, -2) is a minimum. The curve crosses the y-axis at -1. Find the value of a and the value…
Answer this question and get it marked →May–June 2025, Paper 31
On the diagram, sketch the graph of y = 7/(x + 2) for values of x between −10 and 10.
Answer this question and get it marked →May–June 2025, Paper 32
f(x) = 5x - 7 Complete the mapping diagram. The mapping diagram has two ovals, the left labelled x and the right labelled f(x). The input 2 maps to a blank output box; a blank…
Answer this question and get it marked →A blank coordinate grid is given, with x-axis and y-axis both from -10 to 10. On the diagram, sketch the graph of y = (3x + 6) / (x - 2) for values of x between -10 and 10.
Answer this question and get it marked →May–June 2025, Paper 33
On the diagram, sketch the graph of y = x^3 + 6x^2 + 2x - 20 for values of x between -6 and 3.
Answer this question and get it marked →May–June 2025, Paper 41
f(x) = x^3 / ((x + 2)(x - 3)) Sketch the graph of y = f(x) for values of x between -10 and 10.
Answer this question and get it marked →May–June 2025, Paper 42
f(x) = (4x - 3) / (2x + 1) Sketch the graph of y = f(x) for values of x between -3 and 3. (Axes are provided with x from -3 to 3 and y from -10 to 10.)
Answer this question and get it marked →Use a graphical method to solve 5 × 0.8^x = 2x + 7. Give your answer correct to 2 decimal places.
Answer this question and get it marked →May–June 2025, Paper 43
f(x) = 3/x - x^2 On the diagram, sketch the graph of y = f(x) for values of x between -3 and 3.
Answer this question and get it marked →f(x) = 3 - 2x g(x) = 1 - 5x Find f(-2).
Answer this question and get it marked →May–June 2025, Paper 63
Mayuko uses a different model for the length of a kingfish: L = 123 / (1 + 3.2 × 10^(-kx)), where k is a positive constant. Use this model to find the length of the kingfish when…
Answer this question and get it marked →Sketch Irene's model from Question 6(b) (L = -0.32x^2 + 12.4x + 2) for values of x between 0 and 30.
Answer this question and get it marked →Other IGCSE Mathematics - International topics
- Algebra (75)
- Number (70)
- Statistics (21)
- Geometry (20)
- Mensuration (18)
- Trigonometry (14)
- Coordinate geometry (8)
- Vectors and transformations (8)
- Sets (6)
- Probability (5)