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  • Perplex
    IB Math AISL
    /
    Function Theory
    /

    Problems

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    Problem Bank - Function Theory

    Access custom-built, exam-style problems for function theory. Each problem has a full solution and mark-scheme, as well as AI grading and support.

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    IB: 6
    16

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    0 / 6

    The graph of y=f−1(x) is shown in the diagram below.

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    1. For the curve y=f(x), find

      1. the x-intercept.

        [2]
      2. the y-intercept.

        [1]

    The curve y=f−1(x) has a horizontal asymptote at 31​.

    1. State the domain of f.

      [1]
    2. Find f(5).

      [2]
    17

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    Consider the function f(x)=1−a√bx−3​+3, where a,b>0.


    Give an expression in terms of a and b for

    1. the largest possible domain of f,

      [3]
    2. the largest possible range of f.

      [3]
    18

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