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    IB Math AASL
    /
    Function Theory
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    Video

    Video Reviews

    Watch comprehensive video reviews for most units, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Function Theory

    Video Reviews

    Watch comprehensive video reviews for Function Theory, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Function graphsComposite & inverse functions (SL +HL)Problem Solving SL+HLHL only

    The video will automatically pause when it reaches a problem.

    Notation for domain and range intervals

    SL Core 2.2

    The domain and range of functions are commonly intervals of real numbers.


    For example, if f(x) is defined for −1<x≤5, we can write the domain

    {x∈R∣−1<x≤5}

    (∈ means "in" or "element of", and R is all real numbers)


    We can also use the equivalent interval notation

    x∈(−1,5]

    where ( means that end is not inclusive (−1<x) and ] means that end is inclusive (x≤5).


    These can also be visualized on a number line:

    Powered by Desmos

    Notation for domain and range intervals

    SL Core 2.2

    The domain and range of functions are commonly intervals of real numbers.


    For example, if f(x) is defined for −1<x≤5, we can write the domain

    {x∈R∣−1<x≤5}

    (∈ means "in" or "element of", and R is all real numbers)


    We can also use the equivalent interval notation

    x∈(−1,5]

    where ( means that end is not inclusive (−1<x) and ] means that end is inclusive (x≤5).


    These can also be visualized on a number line:

    Powered by Desmos

    Function graphsComposite & inverse functions (SL +HL)Problem Solving SL+HLHL only