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Mathematics 15 Online
OpenStudy (anonymous):

y = 1/3 |x| –2

OpenStudy (anonymous):

\[|x| = x , \quad x >0 \\ \quad \quad -x , \quad x <0\]

OpenStudy (michele_laino):

hint, if x greter or equal to zero the your function can ve rewrutten as follows: \[y = \frac{1}{3}x - 2\] whereas if x is less than zero, then your function can be rrewritten as follows: \[y = - \frac{1}{3}x - 2\]

OpenStudy (michele_laino):

oops.. if x is greater ...

OpenStudy (anonymous):

oops.. can be rewritten too.... :P

OpenStudy (anonymous):

Don't guess..

OpenStudy (michele_laino):

no, I don't think it is B

OpenStudy (anonymous):

See, |x| has a graph of: |dw:1426273447793:dw|

OpenStudy (michele_laino):

hint, if I set x=0, into your formula, I get: \[y = \frac{1}{3}x - 2 = 0 - 2 = - 2\] so the point A=(0,2) belongs to your graph

OpenStudy (michele_laino):

oops.. the point A = (0, -2)

OpenStudy (anonymous):

Good.. :)

OpenStudy (anonymous):

Good try.. :P

OpenStudy (anonymous):

I said, don't guess..

OpenStudy (michele_laino):

what is the graph which contains the point A = (0, -2)?

OpenStudy (michele_laino):

hint: the graph of the equation \[y = \frac{1}{3}x - 2\] is:|dw:1426273731656:dw|

OpenStudy (michele_laino):

when, of course, x is greater or equal to zero

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