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Absolute Value Function

And Graphs  

Absolute Value Functions II |Linear Inequalities| Absolute value of linear inequalities
Since the absolute value of a number is always positive, when we graph the equation y = |x|  the shape of our graph looks quite different from the graph of y = x. (see the demonstration below for more detail)
    The graph of every linear (not quadratic etc..) absolute value always has a "V" or a sideways "V" shape. This "V" is the result of the negative absolute values becoming positive. 

 

Practice Problems


Step 1: Fill in x and y values of points on the graph to determine the correct equation.
Fill Chart
Y X1 X2
2
3
4


  To determine the equation represented by the graph on the left, fill out the chart below.
Fill Chart
Y X1 X2
3
4

Can you figure out what the graph of the equation
y =|x| +3
would look like?
Show Graph

What is the equation of the graph on the left?
 Equation
 
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