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    IB Math AASL
    /
    Function Theory
    /

    Video

    Video Reviews

    Watch comprehensive video reviews for most units, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Function Theory

    Video Reviews

    Watch comprehensive video reviews for Function Theory, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Timeline

    Function vs relation (vertical line test)

    00:00

    Evaluating functions

    01:52

    Exercise

    02:15

    Domain of a function

    02:57

    Range of a function

    04:16

    Notation for domain and range intervals

    05:06

    Exercise

    06:41

    Function as a model

    10:18

    Problem

    11:38

    FUNCTION GRAPHS

    Graph of a function

    14:47

    Finding function values from graph

    15:35

    Exercise

    16:13

    Graphing with technology

    17:09

    x-intercepts

    17:44

    y-intercepts

    18:14

    Exercise

    19:12

    Intersections with GDC

    23:21

    Exercise

    24:04

    Vertical asymptotes

    26:30

    Horizontal asymptotes

    27:50

    Exercise

    28:56

    Maxima and Minima

    33:06

    Exercise

    34:18

    COMPOSITE & INVERSE FUNCTIONS (SL +HL)

    Composite functions

    36:33

    Exercise

    37:59

    Exercise

    39:33

    The identity function is \(\mathop{I}\left(x\right

    40:32

    Inverse applied to function is identity x

    41:55

    Finding inverse of specific value

    42:14

    Exercise

    43:50

    Exercise

    44:39

    Graphs of inverse functions

    45:24

    Exercise

    47:13

    Domain & range of inverse functions

    48:03

    Exercise

    49:56

    Finding inverse functions

    51:29

    Exercise

    53:53

    PROBLEM SOLVING SL+HL

    Problem

    55:27

    Problem

    58:41

    Problem

    1:02:35

    HL ONLY

    Even functions

    1:07:48

    Odd functions

    1:08:23

    Existence of inverse function

    1:11:35

    Self-inverse functions

    1:13:19

    Finding inverse function with domain restriction

    1:16:11

    Exercise

    1:18:14

    Function graphsComposite & inverse functions (SL +HL)Problem Solving SL+HLHL only

    The video will automatically pause when it reaches a problem.

    Function vs relation (vertical line test)

    SL Core 2.2

    A function is a rule that assigns to each number in its domain one number in its range. It is expressed in the form

    f(x)=(some expression in x)

    where f and x can be replaced by any letters.


    A function is a special type of relation where each x value has only one possible y-value.


    For example, f(x)=3x2−2 is a function, but x2+y2=1 is not, since y=±√1−x2​ has two possible values for each x.

    Function vs relation (vertical line test)

    SL Core 2.2

    A function is a rule that assigns to each number in its domain one number in its range. It is expressed in the form

    f(x)=(some expression in x)

    where f and x can be replaced by any letters.


    A function is a special type of relation where each x value has only one possible y-value.


    For example, f(x)=3x2−2 is a function, but x2+y2=1 is not, since y=±√1−x2​ has two possible values for each x.

    Function graphsComposite & inverse functions (SL +HL)Problem Solving SL+HLHL only