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  • Perplex
    IB Math AAHL
    /
    Function Theory
    /

    Home

    Function Theory

    Exam-Style Problems

    IB: 4

    25 problems

    IB: 5

    31 problems

    IB: 6

    21 problems

    IB: 7

    8 problems

    Learning Resources

    Thumbnail for Functions and their properties

    Functions and their properties

    The concept of a function as a mathematical machine, the notation ​f(x)=…, and function tables / diagrams.

    0 / 1 exercises completed

    Thumbnail for Function Graphs

    Function Graphs

    Graphing functions with a calculator, characteristics of a function, even and odd functions, ​x​ and ​y​ intercepts, horizontal and vertical asymptotes, maxima and minima

    0 / 3 exercises completed

    Thumbnail for Domain and range

    Domain and range

    The domain of a function is the set of possible inputs, and the range is the set of possible outputs.

    0 / 1 exercises completed

    Thumbnail for Function Composition & Inverses

    Function Composition & Inverses

    Composing functions like ​f∘g​

    0 / 1 exercises completed

    Thumbnail for Even and odd functions

    Even and odd functions

    Even functions where ​f(−x)=f(x), odd functions are where ​g(−x)=−g(x),

    Thumbnail for Inverse Functions

    Inverse Functions

    The concept of an inverse function, its graph as a reflection in the line ​y=x, finding the inverse of a specific value, and domain and range of inverse functions. When inverse functions exist, and how to find them when they do.

    0 / 5 exercises completed

    and the symmetries of their graphs.

    0 / 1 exercises completed