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FUNCTİONS - Coggle Diagram
FUNCTİONS
Types Of Functions
Equal Functions: Let f and g be two functions defined froam defined from A to B. If f(x)= g(x) for all elements of A, then the functions f and g are called equal functions and denoted by f=g
Into Functions: If fa: A→B is such that there exists at least one element in codomainwhich is not the image of any element in domain, then f(x) is into
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Constant Function: Check:Given f:A→B, if f maps all the elements of set A to one and only one element of set B this function is called as a constant function and is denoted by f(x)=c where c is a constant real number
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Onto Function: Let f be a function of A into B that is f: A→B. If f(A)=B, then f is called an onto function
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Unit(İdentity) Function: Let f be a function defined from set A to A (f : A→A). If f(x) =x for all x∈ A, then f is called unit function are on the line y=x
Even Function: A funtion is even if (x)= F(-x) for all x. There is a symmetry about the y-axis like reflection
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Odd Function: A function is odd if f(x)= -f(x) for all x. Graph of an odd function is symmetric with respect to the orign
One To One Function: If the image of element in the domain is different than one another, the function is called a one-to-one function. One-to-oneness can be denoted as 1-1
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Piecewise Function: A piecewise function is a funtion in which more than one formula is used to define the output. Each formula has its own domain, and the domain of the function is the union of all these smaller domains
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Function: An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
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