CAIE IGCSE Mathematics Extended E2.11 Sketching Curves Topic Practice

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Covered syllabus points

E2.11.1 Recognise, sketch and interpret graphs of the following functions: (a)

Question 1

[Maximum number: 3]
Figure for Question 1 — CAIE IGCSE Mathematics Extended
f(x)=x(x+2)(x−3)\mathrm{f}(x)=x(x+2)(x-3)

On the diagram, sketch the graph of y=f(x) for −3⩽x⩽4-3 \leqslant x \leqslant 4. Show the values of the intersections with the axes.

Question 2

[Maximum number: 4]
Figure for Question 2 — CAIE IGCSE Mathematics Extended

The diagram shows a sketch of y=18+5x−2x2y=18+5 x-2 x^{2}.

Find the coordinates of the points A, B and C.

Table for Question 2 — CAIE IGCSE Mathematics Extended

Question 3

[Maximum number: 4]

On the diagram, sketch the graph of y=x3−5x2+2x+8y=x^{3}-5 x^{2}+2 x+8, indicating the values where the graph crosses the axes.

Figure for Question 3 — CAIE IGCSE Mathematics Extended
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