Created by Alain Graham
over 6 years ago


There are two types of functions; OneToOne functions and ManyToOne
The substitution of any given number that gives the answer that is independent of any other number in that function. 3x1=y If x=1 and x=1 x=1; 3(1)1=y y=2 x=1 3(1)1=y y=4 THIS IS A ONETOONE FUNCTION
The substitution of different values, of which give the same answer. For Example: 3x^4=y when x=1 and x=1 so when x=1 3(1)^4=y y=3 AND when x=1 3(1)^4=y
So with that in mind (source: My Resource: https://www.goconqr.com/enGB/p/9367691) y=3 THIS IS A MANYTOONE FUNCTION
In order for a function to exist, however, the domain must be defined or the values of which can't be in the domain must be identified.
The mapping becomes a function when the domain has been identified, this can be written in interval notation [[number ie 1],∞) or as an inequality ie x≥1 or x≠0 So the graph indicating F(x)=x^2 that has the domain x>2 creates this graph
and the answer for finding the range would be F(x)<4. If we didn't add the domain the plotted graph would look like this:
Here are some to start you off. Feel free to edit them and add your own example. Don't forget to message me so I can have a look at them and add a link below:
As to regards to what we said in the previous page their are two types of graphical equations that ARE NOT FUNCTIONS. These are OneToMany Graphs and ManyToMany Graphs
We need not delve further for core 3 examinations TBC
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