IB Maths AI SL 5.2 Increasing and decreasing functions Question Bank

Practise IB Maths AI SL 5.2 by using derivatives and graphs to identify where functions increase or decrease in context.

Exam points

Use the derivative sign or graph gradient to identify intervals where a function increases or decreases.
Interpret increasing and decreasing behaviour in modelling contexts such as profit, distance and bridges.

[Maximum number: 2]

Consider the graph of the following function:

g(x)=\frac{8}{x}+\frac{x^{2}}{2}, \text { for } x \neq 0

Write down the interval in which g(x) is increasing.

$x>2 \mathbf{OR}(2, \infty) \mathbf{OR} \quad 2<x<\infty$

A1A1
Note: Award A1 for 2 seen and award A1 for correct inequality.

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