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  • Perplex
    IB Math AAHL
    /
    Function Theory
    /

    Problem Bank

    [Maximum mark: 7]

    The graph of ​y=f(x)​ is shown below.

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    1. State the domain and range of ​f.

      [2]

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

    2. Find

      1. ​f∘f(−4)​

        [1]
      2. ​f−1(−1)​

        [1]
    3. On the axes above, sketch the graph of ​y=f−1(x), indicating clearly the ​y​-intercept and the point corresponding to ​(−4,1)​ on the graph of ​f.

      [3]

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