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FUNCTİONS - Coggle Diagram
FUNCTİONS
Piecewise Function:
These are functions built from pieces of different functions over different intervals.
Note:
The rule of the function differs for the disjoint subsets of the domain.
Into Function:
Function f from set A to set B is Into function if at least set B has an element that is not connected with any of the elements of set A.
Onto Function:
If a function's image is equal to the range, the function is called an onto function.
One to One Function:
If the image of each element in the domain is different than one another, the function is called a one to one function.
Even Function:
If powers of x are only even, then the function is called even function.
Odd Function:
If powers of x are only odd, then the function is called odd function.
Identity Function:
The domain and range elements are the same, always a one to one functions as well.
Neither Even Nor Odd Function:
If the function has both even and odd powers of x then it is neither of them. This is not a different function type.
Equal Function:
The function F's domain and range are the same as function G.
Constant Function:
All the elements in the domain makes one outcome element in the range. The range has just one element.
Linear Function:
A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
Composition Of Function:
Thia is created when one function is substituted into another function.
Inverse Of Function:
These functions are also one to one and onto functions as well. Domain becomes the range (codomain) and the range becomes the domain.
Range:
The set of values that a given function can take as its argument varies.
Domain:
The set of possible values of the independent variable or variables of a function.
Codomain:
A set that includes all the possible values of a given function.
Rules:
Every element in the domain is related to an element in the range.
Any element in the domain must be related to only one element in the range.
Rules:
The domain and the range of the functions must be equal.
The image of each element of the domain under both functions must be equal.
Vertical Line Test:
A graph represents a function if it is possible to draw a vertical line that intersects the graph more than once.
