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  • Perplex
    IB Math AASL
    /
    Transformations & asymptotes
    /

    Problem Bank

    [Maximum mark: 7]

    Consider the function ​f(x)=loga​x. The following table shows some values of ​x​ and ​f(x).

    ​x​


    ​0.2​


    ​25​

    ​f(x)​

    ​3​


    ​−1​

    ​−2​

      1. Show that ​a=51​.

        [1]
      2. Find the missing values in the table.

        [2]
    1. Sketch the graph of ​y=f(x)​ on the axes below, indicating clearly any axes intercepts.

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      [2]
    2. Determine the transformation which maps the graph of ​y=f(x)​ onto the graph of ​log5​x.

      [2]

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