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IB Maths AA SL 5.2 Increasing and decreasing functions Question Bank

Practise IB Mathematics SL/HL 5.2 by applying increasing and decreasing functions methods to exam-style questions.

Syllabus
First assessment 2021
Course
Mathematics: analysis and approaches SL
Level
SL

Exam points

  • identify the mathematical structure, variable or representation
  • select and apply the correct theorem, formula or algorithm
  • check the result using units, domain, graph or logical reasoning

SL 5.2—Increasing and decreasing functions question 1

[Maximum number: 3]

The derivative of a function f is given by f′(x)=2x+2x2+2x+2f^{\prime}(x)=\frac{2 x+2}{x^{2}+2 x+2}, for x∈Rx \in \mathbb{R}.

Hence, find the values of x for which f is increasing.

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