heyitslizzy13
  • heyitslizzy13
:)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
heyitslizzy13
  • heyitslizzy13
posting in a second!
heyitslizzy13
  • heyitslizzy13
heyitslizzy13
  • heyitslizzy13
no worries, he said he'd help me, just needed to open a new question :)

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Hero
  • Hero
Lizzy, first create your number line and Include the critical points.
heyitslizzy13
  • heyitslizzy13
|dw:1442692154488:dw| how do i know if they're included or not?
heyitslizzy13
  • heyitslizzy13
sorry that extra 1 isn't supposed to be there oops
Hero
  • 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
  • heyitslizzy13
ok
Hero
  • Hero
explain how you figured out the critical points.
heyitslizzy13
  • heyitslizzy13
i took the factors and just solved for x and got -5,-5.4/3,-1
Hero
  • Hero
Okay so, plot-5, 4/3 and -1 on your number line
heyitslizzy13
  • heyitslizzy13
|dw:1442692603203:dw|
Hero
  • Hero
Yesqr posted that already but, you only want to plot the critical points for now.
heyitslizzy13
  • heyitslizzy13
aren't those the critical points?
Hero
  • Hero
The critical points are the valves you found earlier from the factors of the expression.
heyitslizzy13
  • heyitslizzy13
yeah, -5, 4/3, and -1 right?
Hero
  • Hero
Yes,
heyitslizzy13
  • heyitslizzy13
those are the ones i plotted :/
heyitslizzy13
  • heyitslizzy13
you mean the 0 that i put
heyitslizzy13
  • heyitslizzy13
|dw:1442692918759:dw|
Hero
  • Hero
That,, almost right. You plotted 4/5 instead of 4/3
heyitslizzy13
  • heyitslizzy13
ahhh my bad
heyitslizzy13
  • heyitslizzy13
|dw:1442693095991:dw|
Hero
  • 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
  • heyitslizzy13
|dw:1442693173258:dw|
Hero
  • Hero
Remember, if you do something right the first time, then you'll only have to it once.
Hero
  • Hero
Do you know what the next step is?
heyitslizzy13
  • heyitslizzy13
mm i'm not sure, but i distributed :/ i'm not sure if that;s correct
Hero
  • Hero
How many intervals do we have on the number line?
heyitslizzy13
  • heyitslizzy13
4
heyitslizzy13
  • heyitslizzy13
WE HAVE TO TEST
heyitslizzy13
  • heyitslizzy13
RIGHT
Hero
  • Hero
What can we do with each interval?
heyitslizzy13
  • heyitslizzy13
test points
Hero
  • Hero
Correct.
heyitslizzy13
  • heyitslizzy13
-6 works
heyitslizzy13
  • heyitslizzy13
-3 works
heyitslizzy13
  • heyitslizzy13
0 does not
heyitslizzy13
  • heyitslizzy13
and 2 does
Hero
  • Hero
Make sure you're testing Numbers from each of the distinct Intervals involved.
heyitslizzy13
  • heyitslizzy13
i did :) -6,-3,0, and 2
Hero
  • Hero
Okay yes you have done it Correctly it seems,
heyitslizzy13
  • heyitslizzy13
thanks!!!
Hero
  • Hero
I'm imagining the graph of expression. I think I understand Why you're getting these results
Hero
  • Hero
Usually the solution Intervals do not Overlap.
Hero
  • Hero
But in this case we have Overlap because the graph Of the expression hits zero then goes back In the positive direction
Hero
  • Hero
So What is your solution for this one?
heyitslizzy13
  • heyitslizzy13
|dw:1442694101697:dw|
Hero
  • Hero
Okay, it looks right.
Hero
  • Hero
I didn't do any computation I assume your work is correct
heyitslizzy13
  • heyitslizzy13
okay, thank you so much! (:
Hero
  • Hero
YW Good luck with the rest Hope I was able to help Make your HW easier
heyitslizzy13
  • heyitslizzy13
you did thanks!!! :)

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