Pure sector 3:Functions Flashcards
Domain
set of all possible inputs mapping or function
X values
Range
set of all possible outputs of a particular set of inputs for a mapping or function
Y values
What does [ ] mean in interval notation
Included
What does ( ) mean in interval notation
Not included
Mapping definition
A rule which maps one set of numbers to another
Function definition
A mapping such that every element of the domain is mapped to exactly one element in the range
One to one function description
Each input has one output
Does a many ti one function have a inverse function
No
Many to one function description
Multiple inputs can map to the same out put
Is one to many mapping a function
No
One to many mapping description
Each input has multiple outputs
Composite function
Can apply multiple functions in succession to an input
fg(x)
Which functions have an inverse function
Only one to one
Inverse function method
Write y=f(x)
Rearrange the equation to make x the new subject
Swap x and y over
Y=f-1(x)