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IB DP Maths: AA HL复习笔记2.3.1 Language of Functions
Category:
IB课程
,
教材笔记
,
福利干货
Date: 2022年7月11日 下午6:07
What is a mapping?
A
mapping
transforms
one set of values (
inputs
) into another set of values (
outputs
)
Mappings can be:
One-to-one
Each input gets mapped to
exactly one unique
output
No two inputs are mapped to the same output
For example: A mapping that cubes the input
Many-to-one
Each input gets mapped to
exactly one
output
Multiple inputs can be mapped to the same output
For example: A mapping that squares the input
One-to-many
An input can be mapped to
more than one
output
No two inputs are mapped to the same output
For example: A mapping that gives the numbers which when squared equal the input
Many-to-many
An input can be mapped to
more than one
output
Multiple inputs can be mapped to the same output
For example: A mapping that gives the factors of the input
What is a function?
A
function
is a mapping between two sets of numbers where
each input
gets mapped to
exactly one output
The output does not need to be unique
One-to-one
and
many-to-one
mappings are functions
A mapping is a function if its graph passes the
vertical
line test
Any
vertical line
will intersect with the graph
at most once
What notation is used for functions?
What are the domain and range of a function?
The
domain
of a function is the set of values that are used as
inputs
What are piecewise functions?
Piecewise functions
are defined by different functions depending on which interval the input is in
Exam Tip
Worked Example
转载自savemyexams
Previous post: IB DP Maths: AA HL复习笔记2.2.5 Discriminants
Next post: IB DP Maths: AA HL复习笔记2.3.2 Composite & Inverse Functions
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