Mathematics
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OpenStudy (anonymous):
Need help with absolute value and piecewise functions!!
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OpenStudy (anonymous):
OpenStudy (anonymous):
@Directrix
OpenStudy (anonymous):
@YanaSidlinskiy
OpenStudy (welshfella):
Check the graph:- What is the value of y when the line approaches x = 1
OpenStudy (welshfella):
- approaching from the negative values
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OpenStudy (anonymous):
the vale of y would be 1, correct?
OpenStudy (welshfella):
No - its below the x axis
OpenStudy (anonymous):
oh, -1, sorry
OpenStudy (welshfella):
thats correct y or f(x) = -1 up to and including x = 1 ( the filled circle means x = 1 is incleded)
OpenStudy (welshfella):
Now check the right side of y axis - what is the value of y from x = 2 on?
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OpenStudy (anonymous):
I am confused on what you mean by x= 2 and on...
OpenStudy (anonymous):
I know the coordinate of the x would be (3, 2)
OpenStudy (welshfella):
the line starting from x = 2 and continuing to the right
OpenStudy (welshfella):
yes that means y = 3 when x = or > 2
OpenStudy (welshfella):
So now you can see which is correct option
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OpenStudy (anonymous):
so y would continue to be -1?
OpenStudy (welshfella):
No its above the x axis :- y = 3
OpenStudy (anonymous):
oh wait, would the answer be B
OpenStudy (welshfella):
No
the value of f(x) changes according to value of x NOT y
OpenStudy (welshfella):
f(x) ( or y) = -1 when x <= 1
and
f(x) = 3 when x >= 2
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OpenStudy (anonymous):
oh, so it would be A then, if its based on the value of x?
OpenStudy (welshfella):
B sya 'when y'
OpenStudy (welshfella):
YES A is correct
OpenStudy (welshfella):
is it clear now?
OpenStudy (anonymous):
yes it is, thank you so much!