Friday, May 10, 2013

Input Output Math Table



Input output math table

Input output math table is defined as, the set of output values of the dependent variable for a set of input values of the independent variable for an equation.The input output math table has two columns, the first for the independent variable and the second for the corresponding values of the dependent variable.
This is illustrated below with examples

Example 1:


Find the input output math table for the following function y = 2x+2
Solution:
Here x is the input value
Y is the output value
To find input output math table plug the different value for x in the given function we will get the corresponding value for y
Let us take the input values are -3, -2, -1, 0, 1, 2, and 3.
Now substitute these values in y = 2x+ 2.
When x= -3   y = 2(-3) + 2 -6+2 = -4
When x= -2   y= 2(-2) + 2 -4+2 = -2
When x= -1 y = 2(-1) + 2 -2+2 = 0
When x= 0   y=   2(0) + 2 0+2 = 2
When x= 1 y =   2(1) + 2 2+2 = 4
When x= 2 y =   2(2) + 2 4+2 = 6
When x= 3 y =  2(3) + 2 6+2 =8

Input Output math table:


xy
-3-4
-2-2
-10
02
14
26
38


The above table is an Input Output Math Table.
In this first column indicate input value and the second column indicates the output value. From the input output table we can draw a graph for the values
The input output math table can be draw for both linear and non linear functions and equations
Practice problem:
Find the Input output math table for the function y= 4x+8
Answer:
                       
xy
-3-4
-20
-14
08









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