functions and graphical representation

GRAPHICAL REPRESENTATION OF ALGEBRIC FUNCTIONS

1) CONSTANT FUNCTION
y=f(x)=k , where k is any constant s.t k ∈R (R is real numbers space).

y-axis

Here , the horizontal line parallel to y-axis represents
the the graph of any constant function.
y=f(x)=k

DOMAIN = R (x∈R)
x-axis
RANGE = {k}
O(0,0)




2) ZERO FUNCTION
y=f(x)=0 , ∀ x∈R

y-axis



Here , y=o that is the whole x-axis is the required curve
(line) (line) on graph of the zero function.

x-axis
DOMAIN = R
y=f(x)=0 RANGE = {0}
O(0,0)




3) IDENTITY FUNCTION
y=f(x)=x , ∀ x∈R (R is real numbers space).

y-axis

y=f(x)=x A Here , the OA is the required curve (line) .
the


DOMAIN = R
x-axis
RANGE = R
O(0,0)