Functions, Domain And Range

Question 1

How many types of graphs are there? Name them?:

Answer 1

Four
- one to one
- many to one
- many to many
- one to many.

Question 2

What is a function?

Answer 2

A function is an expression that has values in and outputs exactly one output.
Function can only be one to one and many to one.

Question 3

What is the domain of a function? Y=f(x)

Answer 3

All the possible values of x that the function can take in.

Question 4

What is the range of a function?

Answer 4

All the possible values of f(x) , all the outputs that a function can give.

Question 5

In what form should the domain and range be written in?

Answer 5

Set notation
Interval notation
Remember “[square brackets]” are for including the number meaning it is including it
(Round brackets) are for not including the number

Question 6

Why would you re write a quadratic function , to be completed in square form?

Answer 6

To help identify the coordinates of the vertex of the parabola and hence also find the range.