:)

- heyitslizzy13

:)

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- chestercat

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- heyitslizzy13

posting in a second!

- heyitslizzy13

##### 1 Attachment

- heyitslizzy13

no worries, he said he'd help me, just needed to open a new question :)

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## More answers

- Hero

Lizzy, first create your number line and Include the critical points.

- heyitslizzy13

|dw:1442692154488:dw| how do i know if they're included or not?

- heyitslizzy13

sorry that extra 1 isn't supposed to be there oops

- Hero

Well We don't need to include any open or closed circles just yet. We're just identifying the critical points for now.

- heyitslizzy13

ok

- Hero

explain how you figured out the critical points.

- heyitslizzy13

i took the factors and just solved for x and got -5,-5.4/3,-1

- Hero

Okay so, plot-5, 4/3 and -1 on your number line

- heyitslizzy13

|dw:1442692603203:dw|

- Hero

Yesqr posted that already but, you only want to plot the critical points for now.

- heyitslizzy13

aren't those the critical points?

- Hero

The critical points are the valves you found earlier from the factors of the expression.

- heyitslizzy13

yeah, -5, 4/3, and -1 right?

- Hero

Yes,

- heyitslizzy13

those are the ones i plotted :/

- heyitslizzy13

you mean the 0 that i put

- heyitslizzy13

|dw:1442692918759:dw|

- Hero

That,, almost right. You plotted 4/5 instead of 4/3

- heyitslizzy13

ahhh my bad

- heyitslizzy13

|dw:1442693095991:dw|

- Hero

Your number line Should also include negative And positive infinity. We want to be able to dearly See the distinct intervals involved here.

- heyitslizzy13

|dw:1442693173258:dw|

- Hero

Remember, if you do something right the first time, then you'll only have to it once.

- Hero

Do you know what the next step is?

- heyitslizzy13

mm i'm not sure, but i distributed :/ i'm not sure if that;s correct

- Hero

How many intervals do we have on the number line?

- heyitslizzy13

4

- heyitslizzy13

WE HAVE TO TEST

- heyitslizzy13

RIGHT

- Hero

What can we do with each interval?

- heyitslizzy13

test points

- Hero

Correct.

- heyitslizzy13

-6 works

- heyitslizzy13

-3 works

- heyitslizzy13

0 does not

- heyitslizzy13

and 2 does

- Hero

Make sure you're testing Numbers from each of the distinct Intervals involved.

- heyitslizzy13

i did :) -6,-3,0, and 2

- Hero

Okay yes you have done it Correctly it seems,

- heyitslizzy13

thanks!!!

- Hero

I'm imagining the graph of expression. I think I understand Why you're getting these results

- Hero

Usually the solution Intervals do not Overlap.

- Hero

But in this case we have Overlap because the graph Of the expression hits zero then goes back In the positive direction

- Hero

So What is your solution for this one?

- heyitslizzy13

|dw:1442694101697:dw|

- Hero

Okay, it looks right.

- Hero

I didn't do any computation I assume your work is correct

- heyitslizzy13

okay, thank you so much! (:

- Hero

YW Good luck with the rest Hope I was able to help Make your HW easier

- heyitslizzy13

you did thanks!!! :)

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