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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|
if x = 1, then y = |2x-1| y = |2*1-1| y = |2-1| y = |1| y = 1 |dw:1443149440553:dw|
if x = 2, then y = |2x-1| y = |2*2-1| y = |4-1| y = |3| y = 3 |dw:1443149482323:dw|
if x = 3, then y = |2x-1| y = |2*3-1| y = |6-1| y = |5| y = 5 |dw:1443149515312:dw|
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
Thank you very much. Do you know how I would figure out the domain and range?
what does the graph look like
you can use this to check https://www.desmos.com/calculator
It looks like a v but i was always confused about the domain and range.
you should get this https://www.desmos.com/calculator/tvfodpa7lf
are there any restricted x values?
ie are there any x values that lead to division by zero errors? or things like that?
i dont think so
because there are no restrictions, this means the domain is the set of all real numbers
you can plug in any real number you want, and some result will pop out for y
so thats the domain? How do i figure out range?
notice how on the graph, the graph stretches infinitely to the left and right along the x axis
as for the range, look for the lowest point. What is that lowest point?
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
in interval notation, the range would be \(\Large [0, \infty)\) start at 0 (include 0) stop at infinity (exclude infinity)
oh alright thank you oh so very much :)