## anonymous one year ago how do i graph y= l2x-1l The lines are absolute values

1. 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|

2. jim_thompson5910

if x = 1, then y = |2x-1| y = |2*1-1| y = |2-1| y = |1| y = 1 |dw:1443149440553:dw|

3. jim_thompson5910

if x = 2, then y = |2x-1| y = |2*2-1| y = |4-1| y = |3| y = 3 |dw:1443149482323:dw|

4. jim_thompson5910

if x = 3, then y = |2x-1| y = |2*3-1| y = |6-1| y = |5| y = 5 |dw:1443149515312:dw|

5. 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

6. anonymous

Thank you very much. Do you know how I would figure out the domain and range?

7. jim_thompson5910

what does the graph look like

8. jim_thompson5910

you can use this to check https://www.desmos.com/calculator

9. anonymous

It looks like a v but i was always confused about the domain and range.

10. jim_thompson5910

you should get this https://www.desmos.com/calculator/tvfodpa7lf

11. jim_thompson5910

are there any restricted x values?

12. jim_thompson5910

ie are there any x values that lead to division by zero errors? or things like that?

13. anonymous

i dont think so

14. jim_thompson5910

because there are no restrictions, this means the domain is the set of all real numbers

15. jim_thompson5910

you can plug in any real number you want, and some result will pop out for y

16. anonymous

so thats the domain? How do i figure out range?

17. jim_thompson5910

notice how on the graph, the graph stretches infinitely to the left and right along the x axis

18. jim_thompson5910

as for the range, look for the lowest point. What is that lowest point?

19. anonymous

(.5,0)?

20. 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

21. jim_thompson5910

in interval notation, the range would be $$\Large [0, \infty)$$ start at 0 (include 0) stop at infinity (exclude infinity)

22. anonymous

oh alright thank you oh so very much :)

23. jim_thompson5910

you're welcome