IB Maths AI SL 2.3 Graphing functions Question Bank

Practise IB Maths AI SL 2.3 by sketching functions and reading key behaviour from graphs in applied settings.

Exam points

Sketch a function on a stated interval and label the important intercepts or turning points.
Use a graph to identify how a transformation changes position, scale or symmetry.
Interpret the shape of a graph in the context of motion, volume or another applied quantity.

[Maximum number: 2]

A hollow chocolate box is manufactured in the form of a right prism with a regular hexagonal base. The height of the prism is $h \mathrm{~cm}$ , and the top and base of the prism have sides of length $x \mathrm{~cm}$ .

Figure for Question SL 2.3—Graphing functions question 1 — IB Maths AI SL

Sketch the graph of $V=300 \sqrt{3} x-\frac{9}{4} x^{3}$ , for $0 \leq x \leq 16$ .

All question bank results loaded

SL 2.3—Graphing functions question 1