# 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.

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.

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