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  • Perplex
    IB Math AAHL
    /
    Transformations & asymptotes
    /

    Problem Bank

    [Maximum mark: 8]

    The function ​g​ is graphed below over the domain ​−3<x<3.


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    The graph of ​y=g(x)​ has a horizontal asymptote at ​y=−21​, a maximum at ​(2p​,1), and roots at ​0​ and ​p.


    The function ​f​ is defined by ​f(x)=∣g(∣x∣)∣​

    1. On the axes below, sketch the graph of ​y=f(x)​ and label all important features.

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      [5]

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

    2. The equation ​f(x)=q​ has exactly ​4​ solutions. Find the range of possible values of ​q.

      [3]

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