Tabular Representation of the Function

On practice tabular representation of the function is often used. This is because in many real-world situations we can't represent functional dependence analytically.

In this case table is formed where we specify values of the function for any x in table.

Example 1.

x y=f(x)
-3 0
0 0
4 23.2
10.5 -1

This table tells us that f(-3)=0, f(0)=0, f(4)=23.2, f(10.5)=-1.

Note, that domain of this function is set that consists of four elements: {-3,0,4,10.5}. Range of the function is set that consists of three elements: {-1,0,23.2}.

Example 2.

x 1 2 3 10 11 12
f(x) -2 -3 -1 1.5 1.7 2.8

This table tells us that f(1)=-2, f(2)=-3, f(3)=-1, f(10)=1.5, f(11)=1.7, f(12)=2.8.

Note, that domain of this function is set that consists of six elements: {1,2,3,10,11,12}. Range of the function is set that consists of six elements: {-3,-2,-1,1.5,1.7,2.8}.