sheetalvee
how to graph y=|1/2x| ?
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lovekblue
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do u know how to graph 1/2 x
.Sam.
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Is it
\[y=|\frac{1}{2x}|\]
lovekblue
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just move all the -y values to the +y
sheetalvee
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no is it y=|1/2 x|
sheetalvee
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I dont understand
.Sam.
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Are you planning to sketch or plot?
lovekblue
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absolute value is moving all -ve values to +ve
so the right side of the graph stays the same, but since the left side is -ve when u plug in values less than in x.
let's say y = -5 , the absolute value will be 5
(-5, -5 ) will be (-5, 5)
sheetalvee
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sam I need to stetch it. and Lovekblue the graph needs to be in a V shape
sheetalvee
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Im really confused
ChmE
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lets create a table. write down an x y table. put a few easy points. -4, -2, 0, 2 4. Then find the y-values for these. This will help you see a little better what lovekblue was trying to say. Absolute value graphs will look like a "V"
sheetalvee
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okay, and I would find the y-values by substituting the x values into y=|1/2 x| ?
ChmE
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correct.
sheetalvee
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okay I got -2,-1,0,1,2
ChmE
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do you see that if you graph that the line comes down from the left, hits zero, and takes back up to the right looking like a V. This is the graph!!
sheetalvee
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Thanks ! :)
ChmE
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Yup, when in doubt just start picking easy points. Always a quick method to get an idea especially on a test.
sheetalvee
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alright :)
ChmE
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I should let you know about this site. Wolframalpha.com Type in anything you want and it will solve and graph it.