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  • Perplex
    IB Math AIHL
    /
    Exponents & Logarithms
    /

    Problem Bank

    [Maximum mark: 8]

    Consider the function ​f(x)=log2​√4x+k​, where ​k∈R. The point ​P(2,2)​ lies on the graph of ​f.

    1. Show that ​k=8.

      [2]
    2. Write down

      1. the largest possible domain of ​f,

        [1]
      2. the range of ​f.

        [1]
    3. On the axes below, sketch the graph of ​y=f(x), indicating any asymptotes or axes intercepts.

      [4]

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