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Graphing Absolute Value Functions

Introduction to graphing absolute value functions

 Graphing absolute value functions is nothing but after finding the value of the function we will make a graph for its absolute value. Here we are going to learn about graphing absolute value functions. We already know absolute value of positive or negative number is again a positive number. So if we graphing the absolute value it will lies on the positive side. if the function is inside the absolute value we will get a positive graph.


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Example for graphing absolute value functions:


Example 1 for graphing absolute value functions:

Graph the following functions: y = |x – 3|

Solution:

To graph the function we have to give the value for x. here we are going to take the values -2, -1, 0, 1, 2 for x.

            x = -2 y = |-2 – 3|= |-5| = +5

            x = -1 y = |-1 – 3|= |-4| = +4

            x = 0 y = |0 – 3|= |-3| = +3

            x = +1 y = |1 – 3|= |-2| = +2

            x = 2 y = |2 – 3|= |-1| = 1

         Likewise we have to give the value. If we mark these points on the graph we will get the graph like this.

Graphingabsolutevaluefunctions-1

If we are having any negative value after absolute value the graph will lies on the negative side also.


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Example 2 for graphing absolute value functions:


Graph the following functions: y = |x +1|

Solution:

To graph the function we have to give the value for x. here we are going to take the values -2, -1, 0, 1, 2 for x.

                  x = -2 y = |-2 + 1|= |-1| = +1

                  x = -1 y = |-1 + 1|= |0| = 0

                 x = 0 y = |0 + 1|= |+1| = +1

                 x = +1 y = |1 + 1|= |+2| = +2

                 x = 2 y = |2 + 1|= |+3| = +3

           Likewise we have to give the value. If we mark these points on the graph we will get the graph like this.

Graphingabsolutevaluefunctions-2

These are some example problems for graphing absolute value functions. We will some more example problems for this.