Answer:
Inverse of a relation
Reasoning:
the inverse of a function is a full function, this is just a set of pairs. A set of pairs, or relation, where x and y values interchange are inverse of the relation. A one to one function is when a function's inverse is also a function (doesn't have more than one y for each x) which can be tested for on the normal function's graph with a HORIZONTAL line test. A normal parabola isn't one to one. An onto function has to do with every value being used (I don't remember much about them, but once again this isn't a function, but rather a specific set of pairs/data)
Example of inverse of a relation:
Relation: {(0,5), (3,2)}
Inverse: {(5,0), (2,3)}
Example of inverse of a function:
f(x)=5x
f-1(x)=x/5
Example of a one to one function:
f(x)=x+1
Angle 1= 45
Angle 2= 76
Angle 3= 80
Answer:
A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.
Such that each input can be mapped into only one output.
So for example, if we have a relation that maps the input 2 into two different values:
f(2) = 4
f(2) = 8
Then this is not a function.
In the case of the problem, we have a student as the input, and the hair color as the output.
So we will have something like:
f(student) = blond
And if this student decides to change his/her hair color to red?
Then the function becomes:
f(student) = red
So for the same input, we had two different outputs, which means that this is not a function.
We also could have the case where a given student has two colors (Californian for example)
Where again, we would see two different outputs for one single input.
