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anonymous

  • one year ago

how do i graph y= l2x-1l The lines are absolute values

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  1. jim_thompson5910
    • one year ago
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    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|

  2. jim_thompson5910
    • one year ago
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    if x = 1, then y = |2x-1| y = |2*1-1| y = |2-1| y = |1| y = 1 |dw:1443149440553:dw|

  3. jim_thompson5910
    • one year ago
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    if x = 2, then y = |2x-1| y = |2*2-1| y = |4-1| y = |3| y = 3 |dw:1443149482323:dw|

  4. jim_thompson5910
    • one year ago
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    if x = 3, then y = |2x-1| y = |2*3-1| y = |6-1| y = |5| y = 5 |dw:1443149515312:dw|

  5. jim_thompson5910
    • one year ago
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    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

  6. anonymous
    • one year ago
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    Thank you very much. Do you know how I would figure out the domain and range?

  7. jim_thompson5910
    • one year ago
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    what does the graph look like

  8. jim_thompson5910
    • one year ago
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    you can use this to check https://www.desmos.com/calculator

  9. anonymous
    • one year ago
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    It looks like a v but i was always confused about the domain and range.

  10. jim_thompson5910
    • one year ago
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    you should get this https://www.desmos.com/calculator/tvfodpa7lf

  11. jim_thompson5910
    • one year ago
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    are there any restricted x values?

  12. jim_thompson5910
    • one year ago
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    ie are there any x values that lead to division by zero errors? or things like that?

  13. anonymous
    • one year ago
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    i dont think so

  14. jim_thompson5910
    • one year ago
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    because there are no restrictions, this means the domain is the set of all real numbers

  15. jim_thompson5910
    • one year ago
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    you can plug in any real number you want, and some result will pop out for y

  16. anonymous
    • one year ago
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    so thats the domain? How do i figure out range?

  17. jim_thompson5910
    • one year ago
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    notice how on the graph, the graph stretches infinitely to the left and right along the x axis

  18. jim_thompson5910
    • one year ago
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    as for the range, look for the lowest point. What is that lowest point?

  19. anonymous
    • one year ago
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    (.5,0)?

  20. jim_thompson5910
    • one year ago
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    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

  21. jim_thompson5910
    • one year ago
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    in interval notation, the range would be \(\Large [0, \infty)\) start at 0 (include 0) stop at infinity (exclude infinity)

  22. anonymous
    • one year ago
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    oh alright thank you oh so very much :)

  23. jim_thompson5910
    • one year ago
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    you're welcome

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