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OpenStudy (anonymous):
OpenStudy (solomonzelman):
You have a piece-wise function with three parts:
\(\LARGE\color{black}{ f(x) = \begin{cases} & x+14,{~~~~~~}{\large x<-7} \\ & 21,{~~~~~~~~~~~~~~}{\large -7\le x<-6} \\ & x^2-1,{~~~~~}{\large -6\le x} \end{cases} }\)
OpenStudy (solomonzelman):
To which of the three pieces does \(\color{blue}{x=6}\) belong to,
1) x<-7
2) -7≤x<-6
3) -6≤x
OpenStudy (solomonzelman):
can you tell me that please?
OpenStudy (anonymous):
I believe option 3?
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OpenStudy (solomonzelman):
yes, x=6 belongs to `-6≤x`
OpenStudy (solomonzelman):
I meant which peace does x=-6 belong to
OpenStudy (anonymous):
yeah!
OpenStudy (solomonzelman):
but you agree that it is still the third on, because only `-6≤x` contains x=-6, right?
OpenStudy (solomonzelman):
Apologize for typos...
anyway,
that means that you have to use \(x^2-1\) peace to evaluate f(-6)
ie, you plug in x=-6 into \(x^2-1\) to find f(-6)
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OpenStudy (anonymous):
wouldnt that make it 21?
OpenStudy (solomonzelman):
are you sure?
OpenStudy (anonymous):
no wait tis 8 right? agh
OpenStudy (solomonzelman):
\(f(-6)=(-6)^2-1=?\)
OpenStudy (anonymous):
11? sorry mybrains dead
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OpenStudy (solomonzelman):
(-6)² = (-6) • (-6) = ?
OpenStudy (solomonzelman):
6 times 6 is 36, and when you have two negatives in there the negatives become positive.
OpenStudy (anonymous):
35
OpenStudy (solomonzelman):
yes
OpenStudy (anonymous):
thank ya:)
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