Ask your own question, for FREE!
Algebra 19 Online
OpenStudy (anonymous):

WILL FAN AND MEDAL! multiple choice;)

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?

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)

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

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:)

OpenStudy (solomonzelman):

yw

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!