The graph below shows three functions:
Only f(x)
Both g(x) and p(x)
Both f(x) and g(x)
Only p(x)
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OpenStudy (anonymous):
OpenStudy (anonymous):
@Hero
OpenStudy (anonymous):
@iambatman
OpenStudy (anonymous):
@jim_thompson5910
OpenStudy (anonymous):
@amistre64
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OpenStudy (anonymous):
@zepdrix
zepdrix (zepdrix):
So we have three functions graphed.
and we have some options.
What is the question?
OpenStudy (anonymous):
Which function has all real numbers as its domain?
OpenStudy (anonymous):
@zepdrix
zepdrix (zepdrix):
|dw:1441509316845:dw|Domain corresponds to your input values, your x's.
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zepdrix (zepdrix):
Which function spans aaaaaall the way to the left and right?
zepdrix (zepdrix):
I'll tell you that it's not g(x).
Notice that g(x) goes from an x-value of around -2 up to as large as around 1 and a half
OpenStudy (anonymous):
F(X) ?
OpenStudy (anonymous):
OR P(X) @zepdrix
zepdrix (zepdrix):
Well notice that it can't be g(x) because g(x) has points where it `ends`.
We need a function that keeps on going in both directions.
So which one does that? F or P?
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OpenStudy (anonymous):
P(X) i think that's the one
zepdrix (zepdrix):
Hmm P(x) has end points as well, that's no bueno.
It doesn't extend in both directions forever and ever.
OpenStudy (anonymous):
Ok so we elimanate anyone that has G(X) AND its not P(X) so F(X) @zepdrix