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  • Perplex
    IB Math AAHL
    /
    Function Theory
    /

    Problem Bank

    [Maximum mark: 9]

    The function ​f​ is defined by ​f(x)=x2−168​,∣x∣=4.

    1. Determine whether ​f​ is even, odd or neither.

      [1]

      To earn a crown, get your answer ready before you reveal the options!

    2. Sketch the graph of ​y=f(x), labelling any axes-intercepts, asymptotes, maxima or minima.

      [3]

    The function ​g​ is defined by ​g(x)=f(x)​ for ​x≥0.

    1. Give an expression for ​g−1(x).

      [3]
    2. Find the domain of ​g−1(x).

      [2]

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