anonymous
  • anonymous
how do i graph y= l2x-1l The lines are absolute values
Mathematics
katieb
  • katieb
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jim_thompson5910
  • jim_thompson5910
One way is to make a table of xy values if x = 0, then y = |2x-1| y = |2*0-1| y = |0-1| y = |-1| y = 1 |dw:1443149349193:dw|
jim_thompson5910
  • jim_thompson5910
if x = 1, then y = |2x-1| y = |2*1-1| y = |2-1| y = |1| y = 1 |dw:1443149440553:dw|
jim_thompson5910
  • jim_thompson5910
if x = 2, then y = |2x-1| y = |2*2-1| y = |4-1| y = |3| y = 3 |dw:1443149482323:dw|

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jim_thompson5910
  • jim_thompson5910
if x = 3, then y = |2x-1| y = |2*3-1| y = |6-1| y = |5| y = 5 |dw:1443149515312:dw|
jim_thompson5910
  • jim_thompson5910
do that with a few more x values to get more points. Then plot all of the points on the xy plane and draw a curve through them
anonymous
  • anonymous
Thank you very much. Do you know how I would figure out the domain and range?
jim_thompson5910
  • jim_thompson5910
what does the graph look like
jim_thompson5910
  • jim_thompson5910
you can use this to check https://www.desmos.com/calculator
anonymous
  • anonymous
It looks like a v but i was always confused about the domain and range.
jim_thompson5910
  • jim_thompson5910
you should get this https://www.desmos.com/calculator/tvfodpa7lf
jim_thompson5910
  • jim_thompson5910
are there any restricted x values?
jim_thompson5910
  • jim_thompson5910
ie are there any x values that lead to division by zero errors? or things like that?
anonymous
  • anonymous
i dont think so
jim_thompson5910
  • jim_thompson5910
because there are no restrictions, this means the domain is the set of all real numbers
jim_thompson5910
  • jim_thompson5910
you can plug in any real number you want, and some result will pop out for y
anonymous
  • anonymous
so thats the domain? How do i figure out range?
jim_thompson5910
  • jim_thompson5910
notice how on the graph, the graph stretches infinitely to the left and right along the x axis
jim_thompson5910
  • jim_thompson5910
as for the range, look for the lowest point. What is that lowest point?
anonymous
  • anonymous
(.5,0)?
jim_thompson5910
  • jim_thompson5910
yes, that's the vertex notice the y coordinate of this point is y = 0 this is the lowest the graph goes. So the range is \(\Large y \ge 0\) y can be any number as long as it's greater than or equal to 0
jim_thompson5910
  • jim_thompson5910
in interval notation, the range would be \(\Large [0, \infty)\) start at 0 (include 0) stop at infinity (exclude infinity)
anonymous
  • anonymous
oh alright thank you oh so very much :)
jim_thompson5910
  • jim_thompson5910
you're welcome

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