FUNCTIONS :
a function is a correspondence that pairs each element of a set with one element of another set.
INTO
FUNCTIONS
ONE TO ONE FUNCTIONS
ONTO (SURJECTIVE) FUNCTIONS
Let f:A->B be a function.
If f(A)=B f is said to be onto function.
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For a function f : A->B
for any a,b ∈ A
IDENTIFY FUNCTIONS
Let A be a set. The function
I: A-> A defined by
I(x)=x for all x ∈ A is called identify function.
EQUAL
FUNCTIONS
Let f : A->B and g : A->B be two functions.
If f(x) = g(x) f and g are called equal function.
CONSTANT FUNCTIONS
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 functıon and donated by f(x) = c where c is a constant real number.
LINEAR FUNCTIONS
For any real numbers a and b, f :R->R , f(x)=y=ax+b is said to be linear functıon.
EVEN AND ODD
FUNCTIONS
f :R->R for ∀ ∈x R;
If f(-x) = f(x) then f is an even function.
f :R->R , for ∀ ∈x R;
If f(-x) = - f(x) then f is an odd function.
PIECEWISE
FUNCTION
Sometimes a function can’t be described by a single equation, and instead we have to describe it using a combination of equations.
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Domain: a function is a rule that assigns to each element in a set called domain.
Codomain: one and only element in a set called the codomain.
İmage: the iamge of a function is the set of all out values it may produce.
Range: set of all output values of a function called range of a function.
GRAPHS OF
FUNCTIONS
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The set of the points in the analytic plane corresponding to the elements of a function is the graph of
this function.