Week 12/ Absolute value functions

Absolute value functions

I’ll be graphing a absolute value equation, graphing it, and showing it in piecewise notation.

y= |-3x+9|  <——- Note: absolute value brackets (|x|)

With a normal line, (-3x+9) it would go below the x-axis, but when there are absolute value lines in the equation it makes it so the line does not go into the negitive not. Which also means it does not go below the x-axis, istead it just rickashays off and comes right back up. It refects the original line and bounces off the x-axis.

 

Now that we haved graphed we must state it peace wise notation. The point that intercecpts with the x axis is where you will be basing the x is < or > off of. For stating the x is < or > is with two equations, becuase the graph shows two line reflecting off the x axis there are two equations. 1. -3x+9 and -(-3x+9) then you state whether  x is < or > for the number on the x axis.

y = {-3x+9  if x < and equal to 3}

y = {-(-3x+9)  if x > 3}

To figure out if x is < or > you must test a point on the x axis to see if its true. Test numbers before and after three.

Leave a Reply

Your email address will not be published. Required fields are marked *