IB Maths AI SL 5.2 Increasing and Decreasing Functions Questions

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 sign of f′(x) to identify intervals where a function is increasing or decreasing.
Interpret f′(x)=0 and changes in derivative sign from a graph, table or model.
Explain the monotonic behaviour over the stated domain and context.

[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.

$x>2 \mathbf{OR}(2, \infty) \mathbf{OR} \quad 2<x<\infty$
Note: Award A1 for 2 seen and award A1 for correct inequality.

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