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# Overview remaining weeks PowerPoint PPT Presentation

Overview remaining weeks. Thur , 19/6 : Functions (3A) Tue, 24/06 : Sports day(no lesson) Wed, 25/06 : Functions (3BC – mainly revision) Tue, 01/07 : Functions (3D) Wed, 02/07 : Functions (3E) Tue, 08/07 : Functions revision Wed, 09/07 : Test (Functions and Calculus)

Overview remaining weeks

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Overview remaining weeks

Thur, 19/6 : Functions (3A)

Tue, 24/06 : Sports day(no lesson)

Wed, 25/06 : Functions (3BC – mainly revision)

Tue, 01/07 : Functions (3D)

Wed, 02/07 : Functions (3E)

Tue, 08/07 : Functions revision

Wed, 09/07 : Test (Functions and Calculus)

Tue, 15/07 : presentations

Wed, 16/07 : presentations

C3 (Ch 3) FUNCTIONS

Task 1: Come up with a definition for a function

Aim: Defining functions using the concept of mappings

Example: Pets owned by children in a particular street

Use this example to clarify terminology:

Input : Domain: 4 children who live in a particular street

Possible Outcome: Co-domainis the set of all possible pets

Actual Output : Rangeis {dog, cat, rabbit, fish} since only these four different types of pet are owned by this particular set of children

Use this example to clarify terminology:

Domain: 4 mums at a toddler group

Co-domain is children present at this group

Range same as co-domain since co-domain is defined as children present at this group rather than all children

Use this example to clarify terminology:

Domain: 6 children who live in a particular street

Co-domain allowed ages for toddler group(up to 4years)

Range is {0,1,3,4} since there is no 2year old in this particular group

How could you classify different types of mappings?

There are four types of possible mappings:

“one – to – one”

“one – to – many”

“many – to – one”

“many – to – many”

A function is a special type of mapping such that each member of the domain is mapped to one, and only one,

element in the co-domain.

DOMAIN

The DOMAIN is the set of ALLOWED INPUTS TO A FUNCTION.

CO-DOMAIN

The Co-domainis the set of POSSIBLE OUTPUTS FROM A FUNCTION

RANGE

The range is a subset of the codomain, it is the set of ACTUAL OUTPUTS

### More terminology:

This is a ………………. mapping.

For every value of x, there is one value of 1 – 3x, and no two objects map to the same image.

The co-domain and the range is also Q, since all rational numbers are the image of another rational number under this mapping.

This mapping is also a function as there is only one possible image for each object.